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Finding the Fourth Proportional to 86,645, 129,947.52 and 27,469.64

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Solution

The fourth proportional to 86,645, 129,947.52 and 27,469.64 is: 41,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,645 : 129,947.52 = 27,469.64 : x
  2. Step 2: Convert to fraction form
    86,645/129,947.52 = 27,469.64/x
  3. Step 3: Cross multiply
    86,645x = 129,947.52 × 27,469.64
  4. Step 4: Simplify right side
    86,645x = 3,569,611,593.29
  5. Step 5: Solve for x
    x = 3,569,611,593.29/86,645
  6. Step 6: Final answer
    x = 41,198.13

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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.