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Finding the Fourth Proportional to 37,098.86, 55,648.71 and 13,408.20

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Solution

The fourth proportional to 37,098.86, 55,648.71 and 13,408.20 is: 20,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098.86 : 55,648.71 = 13,408.20 : x
  2. Step 2: Convert to fraction form
    37,098.86/55,648.71 = 13,408.20/x
  3. Step 3: Cross multiply
    37,098.86x = 55,648.71 × 13,408.20
  4. Step 4: Simplify right side
    37,098.86x = 746,149,033.42
  5. Step 5: Solve for x
    x = 746,149,033.42/37,098.86
  6. Step 6: Final answer
    x = 20,112.45

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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.