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Finding the Fourth Proportional to 32,474.56, 48,713.68 and 9,102.82

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Solution

The fourth proportional to 32,474.56, 48,713.68 and 9,102.82 is: 13,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,474.56 : 48,713.68 = 9,102.82 : x
  2. Step 2: Convert to fraction form
    32,474.56/48,713.68 = 9,102.82/x
  3. Step 3: Cross multiply
    32,474.56x = 48,713.68 × 9,102.82
  4. Step 4: Simplify right side
    32,474.56x = 443,431,860.58
  5. Step 5: Solve for x
    x = 443,431,860.58/32,474.56
  6. Step 6: Final answer
    x = 13,654.75

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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.