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Finding the Fourth Proportional to 105,653.17, 158,498.21 and 46,487.31

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Solution

The fourth proportional to 105,653.17, 158,498.21 and 46,487.31 is: 69,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,653.17 : 158,498.21 = 46,487.31 : x
  2. Step 2: Convert to fraction form
    105,653.17/158,498.21 = 46,487.31/x
  3. Step 3: Cross multiply
    105,653.17x = 158,498.21 × 46,487.31
  4. Step 4: Simplify right side
    105,653.17x = 7,368,154,944.57
  5. Step 5: Solve for x
    x = 7,368,154,944.57/105,653.17
  6. Step 6: Final answer
    x = 69,739.08

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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.