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Finding the Fourth Proportional to 57,862.74, 86,794.83 and 18,419.70

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Solution

The fourth proportional to 57,862.74, 86,794.83 and 18,419.70 is: 27,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,862.74 : 86,794.83 = 18,419.70 : x
  2. Step 2: Convert to fraction form
    57,862.74/86,794.83 = 18,419.70/x
  3. Step 3: Cross multiply
    57,862.74x = 86,794.83 × 18,419.70
  4. Step 4: Simplify right side
    57,862.74x = 1,598,734,730.15
  5. Step 5: Solve for x
    x = 1,598,734,730.15/57,862.74
  6. Step 6: Final answer
    x = 27,629.78

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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.