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Finding the Fourth Proportional to 37,023.71, 55,540.83 and 13,648.32

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Solution

The fourth proportional to 37,023.71, 55,540.83 and 13,648.32 is: 20,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,023.71 : 55,540.83 = 13,648.32 : x
  2. Step 2: Convert to fraction form
    37,023.71/55,540.83 = 13,648.32/x
  3. Step 3: Cross multiply
    37,023.71x = 55,540.83 × 13,648.32
  4. Step 4: Simplify right side
    37,023.71x = 758,039,020.91
  5. Step 5: Solve for x
    x = 758,039,020.91/37,023.71
  6. Step 6: Final answer
    x = 20,474.42

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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.