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Finding the Fourth Proportional to 32,476.56, 48,717.04 and 11,414.04

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Solution

The fourth proportional to 32,476.56, 48,717.04 and 11,414.04 is: 17,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476.56 : 48,717.04 = 11,414.04 : x
  2. Step 2: Convert to fraction form
    32,476.56/48,717.04 = 11,414.04/x
  3. Step 3: Cross multiply
    32,476.56x = 48,717.04 × 11,414.04
  4. Step 4: Simplify right side
    32,476.56x = 556,058,243.24
  5. Step 5: Solve for x
    x = 556,058,243.24/32,476.56
  6. Step 6: Final answer
    x = 17,121.83

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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.