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Finding the Fourth Proportional to 25,922.52, 38,616.25 and 25,138.47

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Solution

The fourth proportional to 25,922.52, 38,616.25 and 25,138.47 is: 37,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,922.52 : 38,616.25 = 25,138.47 : x
  2. Step 2: Convert to fraction form
    25,922.52/38,616.25 = 25,138.47/x
  3. Step 3: Cross multiply
    25,922.52x = 38,616.25 × 25,138.47
  4. Step 4: Simplify right side
    25,922.52x = 970,753,123.36
  5. Step 5: Solve for x
    x = 970,753,123.36/25,922.52
  6. Step 6: Final answer
    x = 37,448.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.