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Finding the Fourth Proportional to 41,536.56, 57,319.56 and 22,674

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Solution

The fourth proportional to 41,536.56, 57,319.56 and 22,674 is: 31,289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,536.56 : 57,319.56 = 22,674 : x
  2. Step 2: Convert to fraction form
    41,536.56/57,319.56 = 22,674/x
  3. Step 3: Cross multiply
    41,536.56x = 57,319.56 × 22,674
  4. Step 4: Simplify right side
    41,536.56x = 1,299,663,703.44
  5. Step 5: Solve for x
    x = 1,299,663,703.44/41,536.56
  6. Step 6: Final answer
    x = 31,289.63

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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.