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Finding the Fourth Proportional to 42,407.73, 58,520.39 and 23,543.64

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Solution

The fourth proportional to 42,407.73, 58,520.39 and 23,543.64 is: 32,488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,407.73 : 58,520.39 = 23,543.64 : x
  2. Step 2: Convert to fraction form
    42,407.73/58,520.39 = 23,543.64/x
  3. Step 3: Cross multiply
    42,407.73x = 58,520.39 × 23,543.64
  4. Step 4: Simplify right side
    42,407.73x = 1,377,782,877.10
  5. Step 5: Solve for x
    x = 1,377,782,877.10/42,407.73
  6. Step 6: Final answer
    x = 32,488.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.