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Finding the Fourth Proportional to 52,177.72, 78,278.52 and 22,600.48

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Solution

The fourth proportional to 52,177.72, 78,278.52 and 22,600.48 is: 33,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,177.72 : 78,278.52 = 22,600.48 : x
  2. Step 2: Convert to fraction form
    52,177.72/78,278.52 = 22,600.48/x
  3. Step 3: Cross multiply
    52,177.72x = 78,278.52 × 22,600.48
  4. Step 4: Simplify right side
    52,177.72x = 1,769,132,125.69
  5. Step 5: Solve for x
    x = 1,769,132,125.69/52,177.72
  6. Step 6: Final answer
    x = 33,905.89

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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.