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Finding the Fourth Proportional to 83,461.88, 115,177.44 and 45,736.13

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Solution

The fourth proportional to 83,461.88, 115,177.44 and 45,736.13 is: 63,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,461.88 : 115,177.44 = 45,736.13 : x
  2. Step 2: Convert to fraction form
    83,461.88/115,177.44 = 45,736.13/x
  3. Step 3: Cross multiply
    83,461.88x = 115,177.44 × 45,736.13
  4. Step 4: Simplify right side
    83,461.88x = 5,267,769,793.02
  5. Step 5: Solve for x
    x = 5,267,769,793.02/83,461.88
  6. Step 6: Final answer
    x = 63,115.88

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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.