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Finding the Fourth Proportional to 41,434.92, 57,180.78 and 22,572

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Solution

The fourth proportional to 41,434.92, 57,180.78 and 22,572 is: 31,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,434.92 : 57,180.78 = 22,572 : x
  2. Step 2: Convert to fraction form
    41,434.92/57,180.78 = 22,572/x
  3. Step 3: Cross multiply
    41,434.92x = 57,180.78 × 22,572
  4. Step 4: Simplify right side
    41,434.92x = 1,290,684,566.16
  5. Step 5: Solve for x
    x = 1,290,684,566.16/41,434.92
  6. Step 6: Final answer
    x = 31,149.68

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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.