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Finding the Fourth Proportional to 57,858.64, 86,770.94 and 24,578.44

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Solution

The fourth proportional to 57,858.64, 86,770.94 and 24,578.44 is: 36,860.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,858.64 : 86,770.94 = 24,578.44 : x
  2. Step 2: Convert to fraction form
    57,858.64/86,770.94 = 24,578.44/x
  3. Step 3: Cross multiply
    57,858.64x = 86,770.94 × 24,578.44
  4. Step 4: Simplify right side
    57,858.64x = 2,132,694,002.71
  5. Step 5: Solve for x
    x = 2,132,694,002.71/57,858.64
  6. Step 6: Final answer
    x = 36,860.43

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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.