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Finding the Fourth Proportional to 67,834.40, 101,722.80 and 32,784.80

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Solution

The fourth proportional to 67,834.40, 101,722.80 and 32,784.80 is: 49,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,834.40 : 101,722.80 = 32,784.80 : x
  2. Step 2: Convert to fraction form
    67,834.40/101,722.80 = 32,784.80/x
  3. Step 3: Cross multiply
    67,834.40x = 101,722.80 × 32,784.80
  4. Step 4: Simplify right side
    67,834.40x = 3,334,961,653.44
  5. Step 5: Solve for x
    x = 3,334,961,653.44/67,834.40
  6. Step 6: Final answer
    x = 49,163.28

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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.