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Finding the Fourth Proportional to 31,402.80, 47,104.20 and 13,863.60

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Solution

The fourth proportional to 31,402.80, 47,104.20 and 13,863.60 is: 20,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.80 : 47,104.20 = 13,863.60 : x
  2. Step 2: Convert to fraction form
    31,402.80/47,104.20 = 13,863.60/x
  3. Step 3: Cross multiply
    31,402.80x = 47,104.20 × 13,863.60
  4. Step 4: Simplify right side
    31,402.80x = 653,033,787.12
  5. Step 5: Solve for x
    x = 653,033,787.12/31,402.80
  6. Step 6: Final answer
    x = 20,795.40

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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.