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Finding the Fourth Proportional to 38,304.32, 57,397.84 and 25,778

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Solution

The fourth proportional to 38,304.32, 57,397.84 and 25,778 is: 38,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,304.32 : 57,397.84 = 25,778 : x
  2. Step 2: Convert to fraction form
    38,304.32/57,397.84 = 25,778/x
  3. Step 3: Cross multiply
    38,304.32x = 57,397.84 × 25,778
  4. Step 4: Simplify right side
    38,304.32x = 1,479,601,519.52
  5. Step 5: Solve for x
    x = 1,479,601,519.52/38,304.32
  6. Step 6: Final answer
    x = 38,627.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.