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Finding the Fourth Proportional to 65,057.46, 89,780.31 and 38,200.56

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Solution

The fourth proportional to 65,057.46, 89,780.31 and 38,200.56 is: 52,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,057.46 : 89,780.31 = 38,200.56 : x
  2. Step 2: Convert to fraction form
    65,057.46/89,780.31 = 38,200.56/x
  3. Step 3: Cross multiply
    65,057.46x = 89,780.31 × 38,200.56
  4. Step 4: Simplify right side
    65,057.46x = 3,429,658,118.97
  5. Step 5: Solve for x
    x = 3,429,658,118.97/65,057.46
  6. Step 6: Final answer
    x = 52,717.37

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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.