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Finding the Fourth Proportional to 55,855.92, 77,099.16 and 35,766.90

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Solution

The fourth proportional to 55,855.92, 77,099.16 and 35,766.90 is: 49,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,855.92 : 77,099.16 = 35,766.90 : x
  2. Step 2: Convert to fraction form
    55,855.92/77,099.16 = 35,766.90/x
  3. Step 3: Cross multiply
    55,855.92x = 77,099.16 × 35,766.90
  4. Step 4: Simplify right side
    55,855.92x = 2,757,597,945.80
  5. Step 5: Solve for x
    x = 2,757,597,945.80/55,855.92
  6. Step 6: Final answer
    x = 49,369.84

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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.