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Finding the Fourth Proportional to 83,447.69, 125,192.01 and 24,283.87

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Solution

The fourth proportional to 83,447.69, 125,192.01 and 24,283.87 is: 36,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,447.69 : 125,192.01 = 24,283.87 : x
  2. Step 2: Convert to fraction form
    83,447.69/125,192.01 = 24,283.87/x
  3. Step 3: Cross multiply
    83,447.69x = 125,192.01 × 24,283.87
  4. Step 4: Simplify right side
    83,447.69x = 3,040,146,273.96
  5. Step 5: Solve for x
    x = 3,040,146,273.96/83,447.69
  6. Step 6: Final answer
    x = 36,431.76

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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.