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Finding the Fourth Proportional to 41,112.24, 56,732.04 and 24,342

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Solution

The fourth proportional to 41,112.24, 56,732.04 and 24,342 is: 33,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,112.24 : 56,732.04 = 24,342 : x
  2. Step 2: Convert to fraction form
    41,112.24/56,732.04 = 24,342/x
  3. Step 3: Cross multiply
    41,112.24x = 56,732.04 × 24,342
  4. Step 4: Simplify right side
    41,112.24x = 1,380,971,317.68
  5. Step 5: Solve for x
    x = 1,380,971,317.68/41,112.24
  6. Step 6: Final answer
    x = 33,590.27

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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.