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Finding the Fourth Proportional to 67,842.40, 101,734.80 and 32,792.80

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Solution

The fourth proportional to 67,842.40, 101,734.80 and 32,792.80 is: 49,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,842.40 : 101,734.80 = 32,792.80 : x
  2. Step 2: Convert to fraction form
    67,842.40/101,734.80 = 32,792.80/x
  3. Step 3: Cross multiply
    67,842.40x = 101,734.80 × 32,792.80
  4. Step 4: Simplify right side
    67,842.40x = 3,336,168,949.44
  5. Step 5: Solve for x
    x = 3,336,168,949.44/67,842.40
  6. Step 6: Final answer
    x = 49,175.28

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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.