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Finding the Fourth Proportional to 41,863.65, 57,772.23 and 23,000.76

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Solution

The fourth proportional to 41,863.65, 57,772.23 and 23,000.76 is: 31,741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,863.65 : 57,772.23 = 23,000.76 : x
  2. Step 2: Convert to fraction form
    41,863.65/57,772.23 = 23,000.76/x
  3. Step 3: Cross multiply
    41,863.65x = 57,772.23 × 23,000.76
  4. Step 4: Simplify right side
    41,863.65x = 1,328,805,196.89
  5. Step 5: Solve for x
    x = 1,328,805,196.89/41,863.65
  6. Step 6: Final answer
    x = 31,741.26

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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.