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Finding the Fourth Proportional to 41,506.86, 57,280 and 22,643.96

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Solution

The fourth proportional to 41,506.86, 57,280 and 22,643.96 is: 31,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,506.86 : 57,280 = 22,643.96 : x
  2. Step 2: Convert to fraction form
    41,506.86/57,280 = 22,643.96/x
  3. Step 3: Cross multiply
    41,506.86x = 57,280 × 22,643.96
  4. Step 4: Simplify right side
    41,506.86x = 1,297,046,028.80
  5. Step 5: Solve for x
    x = 1,297,046,028.80/41,506.86
  6. Step 6: Final answer
    x = 31,248.96

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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.