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Finding the Fourth Proportional to 103,689.14, 155,532.68 and 47,513.31

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Solution

The fourth proportional to 103,689.14, 155,532.68 and 47,513.31 is: 71,269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,689.14 : 155,532.68 = 47,513.31 : x
  2. Step 2: Convert to fraction form
    103,689.14/155,532.68 = 47,513.31/x
  3. Step 3: Cross multiply
    103,689.14x = 155,532.68 × 47,513.31
  4. Step 4: Simplify right side
    103,689.14x = 7,389,872,439.97
  5. Step 5: Solve for x
    x = 7,389,872,439.97/103,689.14
  6. Step 6: Final answer
    x = 71,269.49

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