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Finding the Fourth Proportional to 38,408.70, 57,523.53 and 37,078.38

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Solution

The fourth proportional to 38,408.70, 57,523.53 and 37,078.38 is: 55,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,408.70 : 57,523.53 = 37,078.38 : x
  2. Step 2: Convert to fraction form
    38,408.70/57,523.53 = 37,078.38/x
  3. Step 3: Cross multiply
    38,408.70x = 57,523.53 × 37,078.38
  4. Step 4: Simplify right side
    38,408.70x = 2,132,879,304.28
  5. Step 5: Solve for x
    x = 2,132,879,304.28/38,408.70
  6. Step 6: Final answer
    x = 55,531.15

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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.