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Finding the Fourth Proportional to 36,778.80, 55,151.84 and 10,477.60

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Solution

The fourth proportional to 36,778.80, 55,151.84 and 10,477.60 is: 15,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,778.80 : 55,151.84 = 10,477.60 : x
  2. Step 2: Convert to fraction form
    36,778.80/55,151.84 = 10,477.60/x
  3. Step 3: Cross multiply
    36,778.80x = 55,151.84 × 10,477.60
  4. Step 4: Simplify right side
    36,778.80x = 577,858,918.78
  5. Step 5: Solve for x
    x = 577,858,918.78/36,778.80
  6. Step 6: Final answer
    x = 15,711.74

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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.