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Finding the Fourth Proportional to 38,195.96, 52,667.82 and 24,749.55

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Solution

The fourth proportional to 38,195.96, 52,667.82 and 24,749.55 is: 34,126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,195.96 : 52,667.82 = 24,749.55 : x
  2. Step 2: Convert to fraction form
    38,195.96/52,667.82 = 24,749.55/x
  3. Step 3: Cross multiply
    38,195.96x = 52,667.82 × 24,749.55
  4. Step 4: Simplify right side
    38,195.96x = 1,303,504,844.48
  5. Step 5: Solve for x
    x = 1,303,504,844.48/38,195.96
  6. Step 6: Final answer
    x = 34,126.78

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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.