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Finding the Fourth Proportional to 42,702.39, 64,092.96 and 21,657.20

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Solution

The fourth proportional to 42,702.39, 64,092.96 and 21,657.20 is: 32,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,702.39 : 64,092.96 = 21,657.20 : x
  2. Step 2: Convert to fraction form
    42,702.39/64,092.96 = 21,657.20/x
  3. Step 3: Cross multiply
    42,702.39x = 64,092.96 × 21,657.20
  4. Step 4: Simplify right side
    42,702.39x = 1,388,073,732.85
  5. Step 5: Solve for x
    x = 1,388,073,732.85/42,702.39
  6. Step 6: Final answer
    x = 32,505.76

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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.