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Finding the Fourth Proportional to 38,408.40, 57,515.40 and 36,658.80

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Solution

The fourth proportional to 38,408.40, 57,515.40 and 36,658.80 is: 54,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,408.40 : 57,515.40 = 36,658.80 : x
  2. Step 2: Convert to fraction form
    38,408.40/57,515.40 = 36,658.80/x
  3. Step 3: Cross multiply
    38,408.40x = 57,515.40 × 36,658.80
  4. Step 4: Simplify right side
    38,408.40x = 2,108,445,545.52
  5. Step 5: Solve for x
    x = 2,108,445,545.52/38,408.40
  6. Step 6: Final answer
    x = 54,895.43

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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.