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Finding the Fourth Proportional to 105,173.63, 157,760.44 and 31,301.63

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Solution

The fourth proportional to 105,173.63, 157,760.44 and 31,301.63 is: 46,952.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,173.63 : 157,760.44 = 31,301.63 : x
  2. Step 2: Convert to fraction form
    105,173.63/157,760.44 = 31,301.63/x
  3. Step 3: Cross multiply
    105,173.63x = 157,760.44 × 31,301.63
  4. Step 4: Simplify right side
    105,173.63x = 4,938,158,921.52
  5. Step 5: Solve for x
    x = 4,938,158,921.52/105,173.63
  6. Step 6: Final answer
    x = 46,952.44

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.