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Finding the Fourth Proportional to 29,853.34, 44,781.22 and 10,132.06

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Solution

The fourth proportional to 29,853.34, 44,781.22 and 10,132.06 is: 15,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853.34 : 44,781.22 = 10,132.06 : x
  2. Step 2: Convert to fraction form
    29,853.34/44,781.22 = 10,132.06/x
  3. Step 3: Cross multiply
    29,853.34x = 44,781.22 × 10,132.06
  4. Step 4: Simplify right side
    29,853.34x = 453,726,007.91
  5. Step 5: Solve for x
    x = 453,726,007.91/29,853.34
  6. Step 6: Final answer
    x = 15,198.50

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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.