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Finding the Fourth Proportional to 31,350.38, 43,264.42 and 17,204.16

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Solution

The fourth proportional to 31,350.38, 43,264.42 and 17,204.16 is: 23,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,350.38 : 43,264.42 = 17,204.16 : x
  2. Step 2: Convert to fraction form
    31,350.38/43,264.42 = 17,204.16/x
  3. Step 3: Cross multiply
    31,350.38x = 43,264.42 × 17,204.16
  4. Step 4: Simplify right side
    31,350.38x = 744,328,003.99
  5. Step 5: Solve for x
    x = 744,328,003.99/31,350.38
  6. Step 6: Final answer
    x = 23,742.23

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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.