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Finding the Fourth Proportional to 66,098.20, 99,212.10 and 32,855.80

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Solution

The fourth proportional to 66,098.20, 99,212.10 and 32,855.80 is: 49,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,098.20 : 99,212.10 = 32,855.80 : x
  2. Step 2: Convert to fraction form
    66,098.20/99,212.10 = 32,855.80/x
  3. Step 3: Cross multiply
    66,098.20x = 99,212.10 × 32,855.80
  4. Step 4: Simplify right side
    66,098.20x = 3,259,692,915.18
  5. Step 5: Solve for x
    x = 3,259,692,915.18/66,098.20
  6. Step 6: Final answer
    x = 49,315.91

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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.