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Finding the Fourth Proportional to 38,543.60, 57,815.40 and 17,807.60

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Solution

The fourth proportional to 38,543.60, 57,815.40 and 17,807.60 is: 26,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,543.60 : 57,815.40 = 17,807.60 : x
  2. Step 2: Convert to fraction form
    38,543.60/57,815.40 = 17,807.60/x
  3. Step 3: Cross multiply
    38,543.60x = 57,815.40 × 17,807.60
  4. Step 4: Simplify right side
    38,543.60x = 1,029,553,517.04
  5. Step 5: Solve for x
    x = 1,029,553,517.04/38,543.60
  6. Step 6: Final answer
    x = 26,711.40

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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.