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Finding the Fourth Proportional to 38,498.28, 57,747.78 and 12,201

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Solution

The fourth proportional to 38,498.28, 57,747.78 and 12,201 is: 18,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.28 : 57,747.78 = 12,201 : x
  2. Step 2: Convert to fraction form
    38,498.28/57,747.78 = 12,201/x
  3. Step 3: Cross multiply
    38,498.28x = 57,747.78 × 12,201
  4. Step 4: Simplify right side
    38,498.28x = 704,580,663.78
  5. Step 5: Solve for x
    x = 704,580,663.78/38,498.28
  6. Step 6: Final answer
    x = 18,301.61

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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.