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Finding the Fourth Proportional to 132,650.48, 198,969.24 and 49,538

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Solution

The fourth proportional to 132,650.48, 198,969.24 and 49,538 is: 74,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,650.48 : 198,969.24 = 49,538 : x
  2. Step 2: Convert to fraction form
    132,650.48/198,969.24 = 49,538/x
  3. Step 3: Cross multiply
    132,650.48x = 198,969.24 × 49,538
  4. Step 4: Simplify right side
    132,650.48x = 9,856,538,211.12
  5. Step 5: Solve for x
    x = 9,856,538,211.12/132,650.48
  6. Step 6: Final answer
    x = 74,304.58

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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.