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Finding the Fourth Proportional to 40,761.96, 61,103.70 and 22,281

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Solution

The fourth proportional to 40,761.96, 61,103.70 and 22,281 is: 33,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,761.96 : 61,103.70 = 22,281 : x
  2. Step 2: Convert to fraction form
    40,761.96/61,103.70 = 22,281/x
  3. Step 3: Cross multiply
    40,761.96x = 61,103.70 × 22,281
  4. Step 4: Simplify right side
    40,761.96x = 1,361,451,539.70
  5. Step 5: Solve for x
    x = 1,361,451,539.70/40,761.96
  6. Step 6: Final answer
    x = 33,400.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.