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Finding the Fourth Proportional to 41,132.52, 61,698.24 and 9,968.04

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Solution

The fourth proportional to 41,132.52, 61,698.24 and 9,968.04 is: 14,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,132.52 : 61,698.24 = 9,968.04 : x
  2. Step 2: Convert to fraction form
    41,132.52/61,698.24 = 9,968.04/x
  3. Step 3: Cross multiply
    41,132.52x = 61,698.24 × 9,968.04
  4. Step 4: Simplify right side
    41,132.52x = 615,010,524.25
  5. Step 5: Solve for x
    x = 615,010,524.25/41,132.52
  6. Step 6: Final answer
    x = 14,951.93

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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.