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Finding the Fourth Proportional to 71,773.23, 107,550.67 and 34,281.67

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Solution

The fourth proportional to 71,773.23, 107,550.67 and 34,281.67 is: 51,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,773.23 : 107,550.67 = 34,281.67 : x
  2. Step 2: Convert to fraction form
    71,773.23/107,550.67 = 34,281.67/x
  3. Step 3: Cross multiply
    71,773.23x = 107,550.67 × 34,281.67
  4. Step 4: Simplify right side
    71,773.23x = 3,687,016,577.22
  5. Step 5: Solve for x
    x = 3,687,016,577.22/71,773.23
  6. Step 6: Final answer
    x = 51,370.36

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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.