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Finding the Fourth Proportional to 29,914.72, 41,281.82 and 17,167.38

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Solution

The fourth proportional to 29,914.72, 41,281.82 and 17,167.38 is: 23,690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,914.72 : 41,281.82 = 17,167.38 : x
  2. Step 2: Convert to fraction form
    29,914.72/41,281.82 = 17,167.38/x
  3. Step 3: Cross multiply
    29,914.72x = 41,281.82 × 17,167.38
  4. Step 4: Simplify right side
    29,914.72x = 708,700,691.03
  5. Step 5: Solve for x
    x = 708,700,691.03/29,914.72
  6. Step 6: Final answer
    x = 23,690.70

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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.