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Finding the Fourth Proportional to 50,344, 75,524.64 and 15,287.20

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Solution

The fourth proportional to 50,344, 75,524.64 and 15,287.20 is: 22,933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,344 : 75,524.64 = 15,287.20 : x
  2. Step 2: Convert to fraction form
    50,344/75,524.64 = 15,287.20/x
  3. Step 3: Cross multiply
    50,344x = 75,524.64 × 15,287.20
  4. Step 4: Simplify right side
    50,344x = 1,154,560,276.61
  5. Step 5: Solve for x
    x = 1,154,560,276.61/50,344
  6. Step 6: Final answer
    x = 22,933.42

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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.