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Finding the Fourth Proportional to 41,586, 57,388.68 and 24,819

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Solution

The fourth proportional to 41,586, 57,388.68 and 24,819 is: 34,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,586 : 57,388.68 = 24,819 : x
  2. Step 2: Convert to fraction form
    41,586/57,388.68 = 24,819/x
  3. Step 3: Cross multiply
    41,586x = 57,388.68 × 24,819
  4. Step 4: Simplify right side
    41,586x = 1,424,329,648.92
  5. Step 5: Solve for x
    x = 1,424,329,648.92/41,586
  6. Step 6: Final answer
    x = 34,250.22

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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.