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Finding the Fourth Proportional to 31,562.85, 47,407.35 and 19,737.66

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Solution

The fourth proportional to 31,562.85, 47,407.35 and 19,737.66 is: 29,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,562.85 : 47,407.35 = 19,737.66 : x
  2. Step 2: Convert to fraction form
    31,562.85/47,407.35 = 19,737.66/x
  3. Step 3: Cross multiply
    31,562.85x = 47,407.35 × 19,737.66
  4. Step 4: Simplify right side
    31,562.85x = 935,710,155.80
  5. Step 5: Solve for x
    x = 935,710,155.80/31,562.85
  6. Step 6: Final answer
    x = 29,645.93

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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.