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Finding the Fourth Proportional to 83,374, 125,023.20 and 35,966.73

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Solution

The fourth proportional to 83,374, 125,023.20 and 35,966.73 is: 53,933.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,374 : 125,023.20 = 35,966.73 : x
  2. Step 2: Convert to fraction form
    83,374/125,023.20 = 35,966.73/x
  3. Step 3: Cross multiply
    83,374x = 125,023.20 × 35,966.73
  4. Step 4: Simplify right side
    83,374x = 4,496,675,678.14
  5. Step 5: Solve for x
    x = 4,496,675,678.14/83,374
  6. Step 6: Final answer
    x = 53,933.79

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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.