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Finding the Fourth Proportional to 31,560.84, 47,340.86 and 10,502.46

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Solution

The fourth proportional to 31,560.84, 47,340.86 and 10,502.46 is: 15,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,560.84 : 47,340.86 = 10,502.46 : x
  2. Step 2: Convert to fraction form
    31,560.84/47,340.86 = 10,502.46/x
  3. Step 3: Cross multiply
    31,560.84x = 47,340.86 × 10,502.46
  4. Step 4: Simplify right side
    31,560.84x = 497,195,436.00
  5. Step 5: Solve for x
    x = 497,195,436.00/31,560.84
  6. Step 6: Final answer
    x = 15,753.56

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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.