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Finding the Fourth Proportional to 67,822.40, 101,704.80 and 32,772.80

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Solution

The fourth proportional to 67,822.40, 101,704.80 and 32,772.80 is: 49,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,822.40 : 101,704.80 = 32,772.80 : x
  2. Step 2: Convert to fraction form
    67,822.40/101,704.80 = 32,772.80/x
  3. Step 3: Cross multiply
    67,822.40x = 101,704.80 × 32,772.80
  4. Step 4: Simplify right side
    67,822.40x = 3,333,151,069.44
  5. Step 5: Solve for x
    x = 3,333,151,069.44/67,822.40
  6. Step 6: Final answer
    x = 49,145.28

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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.