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Finding the Fourth Proportional to 41,416.88, 57,155.90 and 22,554

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Solution

The fourth proportional to 41,416.88, 57,155.90 and 22,554 is: 31,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,416.88 : 57,155.90 = 22,554 : x
  2. Step 2: Convert to fraction form
    41,416.88/57,155.90 = 22,554/x
  3. Step 3: Cross multiply
    41,416.88x = 57,155.90 × 22,554
  4. Step 4: Simplify right side
    41,416.88x = 1,289,094,055.83
  5. Step 5: Solve for x
    x = 1,289,094,055.83/41,416.88
  6. Step 6: Final answer
    x = 31,124.85

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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.