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Finding the Fourth Proportional to 114,991.63, 172,475.30 and 30,760.29

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Solution

The fourth proportional to 114,991.63, 172,475.30 and 30,760.29 is: 46,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,991.63 : 172,475.30 = 30,760.29 : x
  2. Step 2: Convert to fraction form
    114,991.63/172,475.30 = 30,760.29/x
  3. Step 3: Cross multiply
    114,991.63x = 172,475.30 × 30,760.29
  4. Step 4: Simplify right side
    114,991.63x = 5,305,390,322.74
  5. Step 5: Solve for x
    x = 5,305,390,322.74/114,991.63
  6. Step 6: Final answer
    x = 46,137.19

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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.