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Finding the Fourth Proportional to 71,787, 107,684.82 and 22,539

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Solution

The fourth proportional to 71,787, 107,684.82 and 22,539 is: 33,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,787 : 107,684.82 = 22,539 : x
  2. Step 2: Convert to fraction form
    71,787/107,684.82 = 22,539/x
  3. Step 3: Cross multiply
    71,787x = 107,684.82 × 22,539
  4. Step 4: Simplify right side
    71,787x = 2,427,108,157.98
  5. Step 5: Solve for x
    x = 2,427,108,157.98/71,787
  6. Step 6: Final answer
    x = 33,809.86

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