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Finding the Fourth Proportional to 45,821.70, 68,722.95 and 22,464.90

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Solution

The fourth proportional to 45,821.70, 68,722.95 and 22,464.90 is: 33,692.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,821.70 : 68,722.95 = 22,464.90 : x
  2. Step 2: Convert to fraction form
    45,821.70/68,722.95 = 22,464.90/x
  3. Step 3: Cross multiply
    45,821.70x = 68,722.95 × 22,464.90
  4. Step 4: Simplify right side
    45,821.70x = 1,543,854,199.46
  5. Step 5: Solve for x
    x = 1,543,854,199.46/45,821.70
  6. Step 6: Final answer
    x = 33,692.64

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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.