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Finding the Fourth Proportional to 32,499.88, 48,743.65 and 15,843.16

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Solution

The fourth proportional to 32,499.88, 48,743.65 and 15,843.16 is: 23,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,499.88 : 48,743.65 = 15,843.16 : x
  2. Step 2: Convert to fraction form
    32,499.88/48,743.65 = 15,843.16/x
  3. Step 3: Cross multiply
    32,499.88x = 48,743.65 × 15,843.16
  4. Step 4: Simplify right side
    32,499.88x = 772,253,123.00
  5. Step 5: Solve for x
    x = 772,253,123.00/32,499.88
  6. Step 6: Final answer
    x = 23,761.73

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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.