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Finding the Fourth Proportional to 52,177.54, 78,206.31 and 22,565.62

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Solution

The fourth proportional to 52,177.54, 78,206.31 and 22,565.62 is: 33,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,177.54 : 78,206.31 = 22,565.62 : x
  2. Step 2: Convert to fraction form
    52,177.54/78,206.31 = 22,565.62/x
  3. Step 3: Cross multiply
    52,177.54x = 78,206.31 × 22,565.62
  4. Step 4: Simplify right side
    52,177.54x = 1,764,773,873.06
  5. Step 5: Solve for x
    x = 1,764,773,873.06/52,177.54
  6. Step 6: Final answer
    x = 33,822.48

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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.