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Finding the Fourth Proportional to 37,099.50, 51,197.31 and 20,332.14

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Solution

The fourth proportional to 37,099.50, 51,197.31 and 20,332.14 is: 28,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,099.50 : 51,197.31 = 20,332.14 : x
  2. Step 2: Convert to fraction form
    37,099.50/51,197.31 = 20,332.14/x
  3. Step 3: Cross multiply
    37,099.50x = 51,197.31 × 20,332.14
  4. Step 4: Simplify right side
    37,099.50x = 1,040,950,874.54
  5. Step 5: Solve for x
    x = 1,040,950,874.54/37,099.50
  6. Step 6: Final answer
    x = 28,058.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.