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Finding the Fourth Proportional to 83,847, 125,740.05 and 45,924.42

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Solution

The fourth proportional to 83,847, 125,740.05 and 45,924.42 is: 68,869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,847 : 125,740.05 = 45,924.42 : x
  2. Step 2: Convert to fraction form
    83,847/125,740.05 = 45,924.42/x
  3. Step 3: Cross multiply
    83,847x = 125,740.05 × 45,924.42
  4. Step 4: Simplify right side
    83,847x = 5,774,538,867.02
  5. Step 5: Solve for x
    x = 5,774,538,867.02/83,847
  6. Step 6: Final answer
    x = 68,869.95

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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.