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Finding the Fourth Proportional to 41,449.40, 57,200.16 and 22,586.52

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Solution

The fourth proportional to 41,449.40, 57,200.16 and 22,586.52 is: 31,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,449.40 : 57,200.16 = 22,586.52 : x
  2. Step 2: Convert to fraction form
    41,449.40/57,200.16 = 22,586.52/x
  3. Step 3: Cross multiply
    41,449.40x = 57,200.16 × 22,586.52
  4. Step 4: Simplify right side
    41,449.40x = 1,291,952,557.84
  5. Step 5: Solve for x
    x = 1,291,952,557.84/41,449.40
  6. Step 6: Final answer
    x = 31,169.39

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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.