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Finding the Fourth Proportional to 83,395.92, 114,971.96 and 52,753.77

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Solution

The fourth proportional to 83,395.92, 114,971.96 and 52,753.77 is: 72,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,395.92 : 114,971.96 = 52,753.77 : x
  2. Step 2: Convert to fraction form
    83,395.92/114,971.96 = 52,753.77/x
  3. Step 3: Cross multiply
    83,395.92x = 114,971.96 × 52,753.77
  4. Step 4: Simplify right side
    83,395.92x = 6,065,203,759.43
  5. Step 5: Solve for x
    x = 6,065,203,759.43/83,395.92
  6. Step 6: Final answer
    x = 72,727.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.