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Finding the Fourth Proportional to 41,978.82, 57,936.30 and 24,070.32

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Solution

The fourth proportional to 41,978.82, 57,936.30 and 24,070.32 is: 33,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,978.82 : 57,936.30 = 24,070.32 : x
  2. Step 2: Convert to fraction form
    41,978.82/57,936.30 = 24,070.32/x
  3. Step 3: Cross multiply
    41,978.82x = 57,936.30 × 24,070.32
  4. Step 4: Simplify right side
    41,978.82x = 1,394,545,280.62
  5. Step 5: Solve for x
    x = 1,394,545,280.62/41,978.82
  6. Step 6: Final answer
    x = 33,220.21

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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.