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Finding the Fourth Proportional to 67,897.40, 101,817.30 and 32,847.80

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Solution

The fourth proportional to 67,897.40, 101,817.30 and 32,847.80 is: 49,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,897.40 : 101,817.30 = 32,847.80 : x
  2. Step 2: Convert to fraction form
    67,897.40/101,817.30 = 32,847.80/x
  3. Step 3: Cross multiply
    67,897.40x = 101,817.30 × 32,847.80
  4. Step 4: Simplify right side
    67,897.40x = 3,344,474,306.94
  5. Step 5: Solve for x
    x = 3,344,474,306.94/67,897.40
  6. Step 6: Final answer
    x = 49,257.77

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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.