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Finding the Fourth Proportional to 29,719.20, 41,007.36 and 17,614.08

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Solution

The fourth proportional to 29,719.20, 41,007.36 and 17,614.08 is: 24,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,719.20 : 41,007.36 = 17,614.08 : x
  2. Step 2: Convert to fraction form
    29,719.20/41,007.36 = 17,614.08/x
  3. Step 3: Cross multiply
    29,719.20x = 41,007.36 × 17,614.08
  4. Step 4: Simplify right side
    29,719.20x = 722,306,919.63
  5. Step 5: Solve for x
    x = 722,306,919.63/29,719.20
  6. Step 6: Final answer
    x = 24,304.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.