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Finding the Fourth Proportional to 71,538.78, 107,308.21 and 24,791.66

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Solution

The fourth proportional to 71,538.78, 107,308.21 and 24,791.66 is: 37,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,538.78 : 107,308.21 = 24,791.66 : x
  2. Step 2: Convert to fraction form
    71,538.78/107,308.21 = 24,791.66/x
  3. Step 3: Cross multiply
    71,538.78x = 107,308.21 × 24,791.66
  4. Step 4: Simplify right side
    71,538.78x = 2,660,348,657.53
  5. Step 5: Solve for x
    x = 2,660,348,657.53/71,538.78
  6. Step 6: Final answer
    x = 37,187.50

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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.