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Finding the Fourth Proportional to 42,494.90, 63,713.60 and 23,787.86

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Solution

The fourth proportional to 42,494.90, 63,713.60 and 23,787.86 is: 35,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,494.90 : 63,713.60 = 23,787.86 : x
  2. Step 2: Convert to fraction form
    42,494.90/63,713.60 = 23,787.86/x
  3. Step 3: Cross multiply
    42,494.90x = 63,713.60 × 23,787.86
  4. Step 4: Simplify right side
    42,494.90x = 1,515,609,759.39
  5. Step 5: Solve for x
    x = 1,515,609,759.39/42,494.90
  6. Step 6: Final answer
    x = 35,665.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.