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Finding the Fourth Proportional to 29,198.25, 43,788.24 and 9,472.71

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Solution

The fourth proportional to 29,198.25, 43,788.24 and 9,472.71 is: 14,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,198.25 : 43,788.24 = 9,472.71 : x
  2. Step 2: Convert to fraction form
    29,198.25/43,788.24 = 9,472.71/x
  3. Step 3: Cross multiply
    29,198.25x = 43,788.24 × 9,472.71
  4. Step 4: Simplify right side
    29,198.25x = 414,793,298.93
  5. Step 5: Solve for x
    x = 414,793,298.93/29,198.25
  6. Step 6: Final answer
    x = 14,206.10

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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.