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Finding the Fourth Proportional to 31,641.95, 47,476.01 and 13,863.41

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Solution

The fourth proportional to 31,641.95, 47,476.01 and 13,863.41 is: 20,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,641.95 : 47,476.01 = 13,863.41 : x
  2. Step 2: Convert to fraction form
    31,641.95/47,476.01 = 13,863.41/x
  3. Step 3: Cross multiply
    31,641.95x = 47,476.01 × 13,863.41
  4. Step 4: Simplify right side
    31,641.95x = 658,179,391.79
  5. Step 5: Solve for x
    x = 658,179,391.79/31,641.95
  6. Step 6: Final answer
    x = 20,800.85

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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.