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Finding the Fourth Proportional to 84,229.80, 126,343.50 and 25,065.78

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Solution

The fourth proportional to 84,229.80, 126,343.50 and 25,065.78 is: 37,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,229.80 : 126,343.50 = 25,065.78 : x
  2. Step 2: Convert to fraction form
    84,229.80/126,343.50 = 25,065.78/x
  3. Step 3: Cross multiply
    84,229.80x = 126,343.50 × 25,065.78
  4. Step 4: Simplify right side
    84,229.80x = 3,166,898,375.43
  5. Step 5: Solve for x
    x = 3,166,898,375.43/84,229.80
  6. Step 6: Final answer
    x = 37,598.31

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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.