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Finding the Fourth Proportional to 83,515.86, 125,254.62 and 49,791.42

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Solution

The fourth proportional to 83,515.86, 125,254.62 and 49,791.42 is: 74,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,515.86 : 125,254.62 = 49,791.42 : x
  2. Step 2: Convert to fraction form
    83,515.86/125,254.62 = 49,791.42/x
  3. Step 3: Cross multiply
    83,515.86x = 125,254.62 × 49,791.42
  4. Step 4: Simplify right side
    83,515.86x = 6,236,605,391.36
  5. Step 5: Solve for x
    x = 6,236,605,391.36/83,515.86
  6. Step 6: Final answer
    x = 74,675.70

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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.