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Finding the Fourth Proportional to 41,744, 57,606.72 and 22,881.26

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Solution

The fourth proportional to 41,744, 57,606.72 and 22,881.26 is: 31,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,744 : 57,606.72 = 22,881.26 : x
  2. Step 2: Convert to fraction form
    41,744/57,606.72 = 22,881.26/x
  3. Step 3: Cross multiply
    41,744x = 57,606.72 × 22,881.26
  4. Step 4: Simplify right side
    41,744x = 1,318,114,338.07
  5. Step 5: Solve for x
    x = 1,318,114,338.07/41,744
  6. Step 6: Final answer
    x = 31,576.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.