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Finding the Fourth Proportional to 29,211.38, 43,823.28 and 9,488.42

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Solution

The fourth proportional to 29,211.38, 43,823.28 and 9,488.42 is: 14,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,211.38 : 43,823.28 = 9,488.42 : x
  2. Step 2: Convert to fraction form
    29,211.38/43,823.28 = 9,488.42/x
  3. Step 3: Cross multiply
    29,211.38x = 43,823.28 × 9,488.42
  4. Step 4: Simplify right side
    29,211.38x = 415,813,686.42
  5. Step 5: Solve for x
    x = 415,813,686.42/29,211.38
  6. Step 6: Final answer
    x = 14,234.65

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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.