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Finding the Fourth Proportional to 83,375, 125,024.70 and 35,967.73

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Solution

The fourth proportional to 83,375, 125,024.70 and 35,967.73 is: 53,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,375 : 125,024.70 = 35,967.73 : x
  2. Step 2: Convert to fraction form
    83,375/125,024.70 = 35,967.73/x
  3. Step 3: Cross multiply
    83,375x = 125,024.70 × 35,967.73
  4. Step 4: Simplify right side
    83,375x = 4,496,854,652.93
  5. Step 5: Solve for x
    x = 4,496,854,652.93/83,375
  6. Step 6: Final answer
    x = 53,935.29

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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.