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Finding the Fourth Proportional to 71,755.04, 107,648.94 and 21,842.21

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Solution

The fourth proportional to 71,755.04, 107,648.94 and 21,842.21 is: 32,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,755.04 : 107,648.94 = 21,842.21 : x
  2. Step 2: Convert to fraction form
    71,755.04/107,648.94 = 21,842.21/x
  3. Step 3: Cross multiply
    71,755.04x = 107,648.94 × 21,842.21
  4. Step 4: Simplify right side
    71,755.04x = 2,351,290,753.76
  5. Step 5: Solve for x
    x = 2,351,290,753.76/71,755.04
  6. Step 6: Final answer
    x = 32,768.30

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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.