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Finding the Fourth Proportional to 50,493.60, 75,735.20 and 22,414.16

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Solution

The fourth proportional to 50,493.60, 75,735.20 and 22,414.16 is: 33,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,493.60 : 75,735.20 = 22,414.16 : x
  2. Step 2: Convert to fraction form
    50,493.60/75,735.20 = 22,414.16/x
  3. Step 3: Cross multiply
    50,493.60x = 75,735.20 × 22,414.16
  4. Step 4: Simplify right side
    50,493.60x = 1,697,540,890.43
  5. Step 5: Solve for x
    x = 1,697,540,890.43/50,493.60
  6. Step 6: Final answer
    x = 33,618.93

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1.5x scale

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.