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Finding the Fourth Proportional to 41,872.68, 57,782.16 and 23,006.16

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Solution

The fourth proportional to 41,872.68, 57,782.16 and 23,006.16 is: 31,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,872.68 : 57,782.16 = 23,006.16 : x
  2. Step 2: Convert to fraction form
    41,872.68/57,782.16 = 23,006.16/x
  3. Step 3: Cross multiply
    41,872.68x = 57,782.16 × 23,006.16
  4. Step 4: Simplify right side
    41,872.68x = 1,329,345,618.11
  5. Step 5: Solve for x
    x = 1,329,345,618.11/41,872.68
  6. Step 6: Final answer
    x = 31,747.33

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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.