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Finding the Fourth Proportional to 38,712, 57,957.84 and 25,524.12

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Solution

The fourth proportional to 38,712, 57,957.84 and 25,524.12 is: 38,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,712 : 57,957.84 = 25,524.12 : x
  2. Step 2: Convert to fraction form
    38,712/57,957.84 = 25,524.12/x
  3. Step 3: Cross multiply
    38,712x = 57,957.84 × 25,524.12
  4. Step 4: Simplify right side
    38,712x = 1,479,322,863.10
  5. Step 5: Solve for x
    x = 1,479,322,863.10/38,712
  6. Step 6: Final answer
    x = 38,213.55

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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.