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Finding the Fourth Proportional to 65,765.85, 98,692.47 and 24,212.85

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Solution

The fourth proportional to 65,765.85, 98,692.47 and 24,212.85 is: 36,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,765.85 : 98,692.47 = 24,212.85 : x
  2. Step 2: Convert to fraction form
    65,765.85/98,692.47 = 24,212.85/x
  3. Step 3: Cross multiply
    65,765.85x = 98,692.47 × 24,212.85
  4. Step 4: Simplify right side
    65,765.85x = 2,389,625,972.24
  5. Step 5: Solve for x
    x = 2,389,625,972.24/65,765.85
  6. Step 6: Final answer
    x = 36,335.36

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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.