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Finding the Fourth Proportional to 132,642.48, 198,957.24 and 49,530

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Solution

The fourth proportional to 132,642.48, 198,957.24 and 49,530 is: 74,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,642.48 : 198,957.24 = 49,530 : x
  2. Step 2: Convert to fraction form
    132,642.48/198,957.24 = 49,530/x
  3. Step 3: Cross multiply
    132,642.48x = 198,957.24 × 49,530
  4. Step 4: Simplify right side
    132,642.48x = 9,854,352,097.20
  5. Step 5: Solve for x
    x = 9,854,352,097.20/132,642.48
  6. Step 6: Final answer
    x = 74,292.58

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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.