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Finding the Fourth Proportional to 57,797.80, 86,698.49 and 15,677.71

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Solution

The fourth proportional to 57,797.80, 86,698.49 and 15,677.71 is: 23,517.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,797.80 : 86,698.49 = 15,677.71 : x
  2. Step 2: Convert to fraction form
    57,797.80/86,698.49 = 15,677.71/x
  3. Step 3: Cross multiply
    57,797.80x = 86,698.49 × 15,677.71
  4. Step 4: Simplify right side
    57,797.80x = 1,359,234,164.26
  5. Step 5: Solve for x
    x = 1,359,234,164.26/57,797.80
  6. Step 6: Final answer
    x = 23,517.06

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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.