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Finding the Fourth Proportional to 83,894.66, 125,904.84 and 52,350.80

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Solution

The fourth proportional to 83,894.66, 125,904.84 and 52,350.80 is: 78,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,894.66 : 125,904.84 = 52,350.80 : x
  2. Step 2: Convert to fraction form
    83,894.66/125,904.84 = 52,350.80/x
  3. Step 3: Cross multiply
    83,894.66x = 125,904.84 × 52,350.80
  4. Step 4: Simplify right side
    83,894.66x = 6,591,219,097.87
  5. Step 5: Solve for x
    x = 6,591,219,097.87/83,894.66
  6. Step 6: Final answer
    x = 78,565.42

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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.