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Finding the Fourth Proportional to 52,110.28, 78,169.05 and 20,945.50

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Solution

The fourth proportional to 52,110.28, 78,169.05 and 20,945.50 is: 31,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,110.28 : 78,169.05 = 20,945.50 : x
  2. Step 2: Convert to fraction form
    52,110.28/78,169.05 = 20,945.50/x
  3. Step 3: Cross multiply
    52,110.28x = 78,169.05 × 20,945.50
  4. Step 4: Simplify right side
    52,110.28x = 1,637,289,836.78
  5. Step 5: Solve for x
    x = 1,637,289,836.78/52,110.28
  6. Step 6: Final answer
    x = 31,419.71

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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.