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Finding the Fourth Proportional to 57,811.86, 86,723.57 and 15,692.62

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Solution

The fourth proportional to 57,811.86, 86,723.57 and 15,692.62 is: 23,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,811.86 : 86,723.57 = 15,692.62 : x
  2. Step 2: Convert to fraction form
    57,811.86/86,723.57 = 15,692.62/x
  3. Step 3: Cross multiply
    57,811.86x = 86,723.57 × 15,692.62
  4. Step 4: Simplify right side
    57,811.86x = 1,360,920,029.05
  5. Step 5: Solve for x
    x = 1,360,920,029.05/57,811.86
  6. Step 6: Final answer
    x = 23,540.50

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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.