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Finding the Fourth Proportional to 41,314.35, 57,014.16 and 22,451.48

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Solution

The fourth proportional to 41,314.35, 57,014.16 and 22,451.48 is: 30,983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,314.35 : 57,014.16 = 22,451.48 : x
  2. Step 2: Convert to fraction form
    41,314.35/57,014.16 = 22,451.48/x
  3. Step 3: Cross multiply
    41,314.35x = 57,014.16 × 22,451.48
  4. Step 4: Simplify right side
    41,314.35x = 1,280,051,987.89
  5. Step 5: Solve for x
    x = 1,280,051,987.89/41,314.35
  6. Step 6: Final answer
    x = 30,983.23

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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.