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Finding the Fourth Proportional to 36,046.96, 49,742 and 20,129.92

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Solution

The fourth proportional to 36,046.96, 49,742 and 20,129.92 is: 27,777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,046.96 : 49,742 = 20,129.92 : x
  2. Step 2: Convert to fraction form
    36,046.96/49,742 = 20,129.92/x
  3. Step 3: Cross multiply
    36,046.96x = 49,742 × 20,129.92
  4. Step 4: Simplify right side
    36,046.96x = 1,001,302,480.64
  5. Step 5: Solve for x
    x = 1,001,302,480.64/36,046.96
  6. Step 6: Final answer
    x = 27,777.72

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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.