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Finding the Fourth Proportional to 71,565.75, 107,348.67 and 22,317.75

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Solution

The fourth proportional to 71,565.75, 107,348.67 and 22,317.75 is: 33,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,565.75 : 107,348.67 = 22,317.75 : x
  2. Step 2: Convert to fraction form
    71,565.75/107,348.67 = 22,317.75/x
  3. Step 3: Cross multiply
    71,565.75x = 107,348.67 × 22,317.75
  4. Step 4: Simplify right side
    71,565.75x = 2,395,780,779.89
  5. Step 5: Solve for x
    x = 2,395,780,779.89/71,565.75
  6. Step 6: Final answer
    x = 33,476.64

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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.