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Finding the Fourth Proportional to 54,572.60, 81,782.10 and 40,422.20

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Solution

The fourth proportional to 54,572.60, 81,782.10 and 40,422.20 is: 60,576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,572.60 : 81,782.10 = 40,422.20 : x
  2. Step 2: Convert to fraction form
    54,572.60/81,782.10 = 40,422.20/x
  3. Step 3: Cross multiply
    54,572.60x = 81,782.10 × 40,422.20
  4. Step 4: Simplify right side
    54,572.60x = 3,305,812,402.62
  5. Step 5: Solve for x
    x = 3,305,812,402.62/54,572.60
  6. Step 6: Final answer
    x = 60,576.41

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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.