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Finding the Fourth Proportional to 83,727.80, 115,539.10 and 77,040.44

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Solution

The fourth proportional to 83,727.80, 115,539.10 and 77,040.44 is: 106,310.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,727.80 : 115,539.10 = 77,040.44 : x
  2. Step 2: Convert to fraction form
    83,727.80/115,539.10 = 77,040.44/x
  3. Step 3: Cross multiply
    83,727.80x = 115,539.10 × 77,040.44
  4. Step 4: Simplify right side
    83,727.80x = 8,901,183,101.20
  5. Step 5: Solve for x
    x = 8,901,183,101.20/83,727.80
  6. Step 6: Final answer
    x = 106,310.96

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1.5x scale

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.