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Finding the Fourth Proportional to 36,049.72, 49,748.14 and 20,134.43

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Solution

The fourth proportional to 36,049.72, 49,748.14 and 20,134.43 is: 27,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,049.72 : 49,748.14 = 20,134.43 : x
  2. Step 2: Convert to fraction form
    36,049.72/49,748.14 = 20,134.43/x
  3. Step 3: Cross multiply
    36,049.72x = 49,748.14 × 20,134.43
  4. Step 4: Simplify right side
    36,049.72x = 1,001,650,442.46
  5. Step 5: Solve for x
    x = 1,001,650,442.46/36,049.72
  6. Step 6: Final answer
    x = 27,785.25

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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.