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Finding the Fourth Proportional to 132,644.48, 198,960.24 and 49,532

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Solution

The fourth proportional to 132,644.48, 198,960.24 and 49,532 is: 74,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,644.48 : 198,960.24 = 49,532 : x
  2. Step 2: Convert to fraction form
    132,644.48/198,960.24 = 49,532/x
  3. Step 3: Cross multiply
    132,644.48x = 198,960.24 × 49,532
  4. Step 4: Simplify right side
    132,644.48x = 9,854,898,607.68
  5. Step 5: Solve for x
    x = 9,854,898,607.68/132,644.48
  6. Step 6: Final answer
    x = 74,295.58

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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.