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Finding the Fourth Proportional to 52,761.92, 78,989.64 and 36,947.36

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Solution

The fourth proportional to 52,761.92, 78,989.64 and 36,947.36 is: 55,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,761.92 : 78,989.64 = 36,947.36 : x
  2. Step 2: Convert to fraction form
    52,761.92/78,989.64 = 36,947.36/x
  3. Step 3: Cross multiply
    52,761.92x = 78,989.64 × 36,947.36
  4. Step 4: Simplify right side
    52,761.92x = 2,918,458,665.35
  5. Step 5: Solve for x
    x = 2,918,458,665.35/52,761.92
  6. Step 6: Final answer
    x = 55,313.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.