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Finding the Fourth Proportional to 31,411.80, 47,117.70 and 10,635.30

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Solution

The fourth proportional to 31,411.80, 47,117.70 and 10,635.30 is: 15,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411.80 : 47,117.70 = 10,635.30 : x
  2. Step 2: Convert to fraction form
    31,411.80/47,117.70 = 10,635.30/x
  3. Step 3: Cross multiply
    31,411.80x = 47,117.70 × 10,635.30
  4. Step 4: Simplify right side
    31,411.80x = 501,110,874.81
  5. Step 5: Solve for x
    x = 501,110,874.81/31,411.80
  6. Step 6: Final answer
    x = 15,952.95

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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.