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Finding the Fourth Proportional to 81,390.72, 122,072.08 and 24,463.76

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Solution

The fourth proportional to 81,390.72, 122,072.08 and 24,463.76 is: 36,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,390.72 : 122,072.08 = 24,463.76 : x
  2. Step 2: Convert to fraction form
    81,390.72/122,072.08 = 24,463.76/x
  3. Step 3: Cross multiply
    81,390.72x = 122,072.08 × 24,463.76
  4. Step 4: Simplify right side
    81,390.72x = 2,986,342,067.82
  5. Step 5: Solve for x
    x = 2,986,342,067.82/81,390.72
  6. Step 6: Final answer
    x = 36,691.43

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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.