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Finding the Fourth Proportional to 41,778.84, 57,653.70 and 22,914.78

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Solution

The fourth proportional to 41,778.84, 57,653.70 and 22,914.78 is: 31,621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,778.84 : 57,653.70 = 22,914.78 : x
  2. Step 2: Convert to fraction form
    41,778.84/57,653.70 = 22,914.78/x
  3. Step 3: Cross multiply
    41,778.84x = 57,653.70 × 22,914.78
  4. Step 4: Simplify right side
    41,778.84x = 1,321,121,851.69
  5. Step 5: Solve for x
    x = 1,321,121,851.69/41,778.84
  6. Step 6: Final answer
    x = 31,621.79

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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.