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Finding the Fourth Proportional to 32,691.84, 49,003.72 and 15,147.24

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Solution

The fourth proportional to 32,691.84, 49,003.72 and 15,147.24 is: 22,705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,691.84 : 49,003.72 = 15,147.24 : x
  2. Step 2: Convert to fraction form
    32,691.84/49,003.72 = 15,147.24/x
  3. Step 3: Cross multiply
    32,691.84x = 49,003.72 × 15,147.24
  4. Step 4: Simplify right side
    32,691.84x = 742,271,107.73
  5. Step 5: Solve for x
    x = 742,271,107.73/32,691.84
  6. Step 6: Final answer
    x = 22,705.09

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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.