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Finding the Fourth Proportional to 38,443.78, 57,665.49 and 12,148.48

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Solution

The fourth proportional to 38,443.78, 57,665.49 and 12,148.48 is: 18,222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,443.78 : 57,665.49 = 12,148.48 : x
  2. Step 2: Convert to fraction form
    38,443.78/57,665.49 = 12,148.48/x
  3. Step 3: Cross multiply
    38,443.78x = 57,665.49 × 12,148.48
  4. Step 4: Simplify right side
    38,443.78x = 700,548,051.96
  5. Step 5: Solve for x
    x = 700,548,051.96/38,443.78
  6. Step 6: Final answer
    x = 18,222.66

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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.