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Finding the Fourth Proportional to 29,867.42, 41,217.03 and 17,291.90

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Solution

The fourth proportional to 29,867.42, 41,217.03 and 17,291.90 is: 23,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,867.42 : 41,217.03 = 17,291.90 : x
  2. Step 2: Convert to fraction form
    29,867.42/41,217.03 = 17,291.90/x
  3. Step 3: Cross multiply
    29,867.42x = 41,217.03 × 17,291.90
  4. Step 4: Simplify right side
    29,867.42x = 712,720,761.06
  5. Step 5: Solve for x
    x = 712,720,761.06/29,867.42
  6. Step 6: Final answer
    x = 23,862.82

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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.