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Finding the Fourth Proportional to 31,411.96, 47,124.89 and 10,351.15

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Solution

The fourth proportional to 31,411.96, 47,124.89 and 10,351.15 is: 15,529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411.96 : 47,124.89 = 10,351.15 : x
  2. Step 2: Convert to fraction form
    31,411.96/47,124.89 = 10,351.15/x
  3. Step 3: Cross multiply
    31,411.96x = 47,124.89 × 10,351.15
  4. Step 4: Simplify right side
    31,411.96x = 487,796,805.12
  5. Step 5: Solve for x
    x = 487,796,805.12/31,411.96
  6. Step 6: Final answer
    x = 15,529.02

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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.