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Finding the Fourth Proportional to 71,767.11, 107,666.22 and 21,845.90

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Solution

The fourth proportional to 71,767.11, 107,666.22 and 21,845.90 is: 32,773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,767.11 : 107,666.22 = 21,845.90 : x
  2. Step 2: Convert to fraction form
    71,767.11/107,666.22 = 21,845.90/x
  3. Step 3: Cross multiply
    71,767.11x = 107,666.22 × 21,845.90
  4. Step 4: Simplify right side
    71,767.11x = 2,352,065,378.40
  5. Step 5: Solve for x
    x = 2,352,065,378.40/71,767.11
  6. Step 6: Final answer
    x = 32,773.58

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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.