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Finding the Fourth Proportional to 40,057.50, 55,277.16 and 22,151.46

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Solution

The fourth proportional to 40,057.50, 55,277.16 and 22,151.46 is: 30,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,057.50 : 55,277.16 = 22,151.46 : x
  2. Step 2: Convert to fraction form
    40,057.50/55,277.16 = 22,151.46/x
  3. Step 3: Cross multiply
    40,057.50x = 55,277.16 × 22,151.46
  4. Step 4: Simplify right side
    40,057.50x = 1,224,469,798.65
  5. Step 5: Solve for x
    x = 1,224,469,798.65/40,057.50
  6. Step 6: Final answer
    x = 30,567.80

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