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Finding the Fourth Proportional to 42,686.72, 58,902.24 and 23,824.64

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Solution

The fourth proportional to 42,686.72, 58,902.24 and 23,824.64 is: 32,874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,686.72 : 58,902.24 = 23,824.64 : x
  2. Step 2: Convert to fraction form
    42,686.72/58,902.24 = 23,824.64/x
  3. Step 3: Cross multiply
    42,686.72x = 58,902.24 × 23,824.64
  4. Step 4: Simplify right side
    42,686.72x = 1,403,324,663.19
  5. Step 5: Solve for x
    x = 1,403,324,663.19/42,686.72
  6. Step 6: Final answer
    x = 32,874.97

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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.