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Finding the Fourth Proportional to 57,692.12, 86,500.98 and 22,635.32

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Solution

The fourth proportional to 57,692.12, 86,500.98 and 22,635.32 is: 33,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,692.12 : 86,500.98 = 22,635.32 : x
  2. Step 2: Convert to fraction form
    57,692.12/86,500.98 = 22,635.32/x
  3. Step 3: Cross multiply
    57,692.12x = 86,500.98 × 22,635.32
  4. Step 4: Simplify right side
    57,692.12x = 1,957,977,362.61
  5. Step 5: Solve for x
    x = 1,957,977,362.61/57,692.12
  6. Step 6: Final answer
    x = 33,938.38

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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.