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Finding the Fourth Proportional to 32,474.67, 48,712.24 and 9,101.11

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Solution

The fourth proportional to 32,474.67, 48,712.24 and 9,101.11 is: 13,651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,474.67 : 48,712.24 = 9,101.11 : x
  2. Step 2: Convert to fraction form
    32,474.67/48,712.24 = 9,101.11/x
  3. Step 3: Cross multiply
    32,474.67x = 48,712.24 × 9,101.11
  4. Step 4: Simplify right side
    32,474.67x = 443,335,384.32
  5. Step 5: Solve for x
    x = 443,335,384.32/32,474.67
  6. Step 6: Final answer
    x = 13,651.73

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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.