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Finding the Fourth Proportional to 31,718.50, 47,575.92 and 9,531.40

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Solution

The fourth proportional to 31,718.50, 47,575.92 and 9,531.40 is: 14,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,718.50 : 47,575.92 = 9,531.40 : x
  2. Step 2: Convert to fraction form
    31,718.50/47,575.92 = 9,531.40/x
  3. Step 3: Cross multiply
    31,718.50x = 47,575.92 × 9,531.40
  4. Step 4: Simplify right side
    31,718.50x = 453,465,123.89
  5. Step 5: Solve for x
    x = 453,465,123.89/31,718.50
  6. Step 6: Final answer
    x = 14,296.55

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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.