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Finding the Fourth Proportional to 55,965.60, 77,229.96 and 30,471.96

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Solution

The fourth proportional to 55,965.60, 77,229.96 and 30,471.96 is: 42,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,965.60 : 77,229.96 = 30,471.96 : x
  2. Step 2: Convert to fraction form
    55,965.60/77,229.96 = 30,471.96/x
  3. Step 3: Cross multiply
    55,965.60x = 77,229.96 × 30,471.96
  4. Step 4: Simplify right side
    55,965.60x = 2,353,348,251.92
  5. Step 5: Solve for x
    x = 2,353,348,251.92/55,965.60
  6. Step 6: Final answer
    x = 42,049.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.