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Finding the Fourth Proportional to 41,317.41, 57,018 and 22,454.53

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Solution

The fourth proportional to 41,317.41, 57,018 and 22,454.53 is: 30,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,317.41 : 57,018 = 22,454.53 : x
  2. Step 2: Convert to fraction form
    41,317.41/57,018 = 22,454.53/x
  3. Step 3: Cross multiply
    41,317.41x = 57,018 × 22,454.53
  4. Step 4: Simplify right side
    41,317.41x = 1,280,312,391.54
  5. Step 5: Solve for x
    x = 1,280,312,391.54/41,317.41
  6. Step 6: Final answer
    x = 30,987.24

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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.