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Finding the Fourth Proportional to 98,839.34, 148,268.11 and 32,279.82

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Solution

The fourth proportional to 98,839.34, 148,268.11 and 32,279.82 is: 48,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,839.34 : 148,268.11 = 32,279.82 : x
  2. Step 2: Convert to fraction form
    98,839.34/148,268.11 = 32,279.82/x
  3. Step 3: Cross multiply
    98,839.34x = 148,268.11 × 32,279.82
  4. Step 4: Simplify right side
    98,839.34x = 4,786,067,902.54
  5. Step 5: Solve for x
    x = 4,786,067,902.54/98,839.34
  6. Step 6: Final answer
    x = 48,422.70

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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.