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Finding the Fourth Proportional to 83,892.66, 125,901.84 and 52,348.80

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Solution

The fourth proportional to 83,892.66, 125,901.84 and 52,348.80 is: 78,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,892.66 : 125,901.84 = 52,348.80 : x
  2. Step 2: Convert to fraction form
    83,892.66/125,901.84 = 52,348.80/x
  3. Step 3: Cross multiply
    83,892.66x = 125,901.84 × 52,348.80
  4. Step 4: Simplify right side
    83,892.66x = 6,590,810,241.79
  5. Step 5: Solve for x
    x = 6,590,810,241.79/83,892.66
  6. Step 6: Final answer
    x = 78,562.42

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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.