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Finding the Fourth Proportional to 38,589.87, 53,223.98 and 25,839

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Solution

The fourth proportional to 38,589.87, 53,223.98 and 25,839 is: 35,637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,589.87 : 53,223.98 = 25,839 : x
  2. Step 2: Convert to fraction form
    38,589.87/53,223.98 = 25,839/x
  3. Step 3: Cross multiply
    38,589.87x = 53,223.98 × 25,839
  4. Step 4: Simplify right side
    38,589.87x = 1,375,254,290.03
  5. Step 5: Solve for x
    x = 1,375,254,290.03/38,589.87
  6. Step 6: Final answer
    x = 35,637.70

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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.