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Finding the Fourth Proportional to 38,334, 57,452.31 and 17,251.47

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Solution

The fourth proportional to 38,334, 57,452.31 and 17,251.47 is: 25,855.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,334 : 57,452.31 = 17,251.47 : x
  2. Step 2: Convert to fraction form
    38,334/57,452.31 = 17,251.47/x
  3. Step 3: Cross multiply
    38,334x = 57,452.31 × 17,251.47
  4. Step 4: Simplify right side
    38,334x = 991,136,802.40
  5. Step 5: Solve for x
    x = 991,136,802.40/38,334
  6. Step 6: Final answer
    x = 25,855.29

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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.