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Finding the Fourth Proportional to 50,342.60, 75,524.88 and 15,285

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Solution

The fourth proportional to 50,342.60, 75,524.88 and 15,285 is: 22,930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,342.60 : 75,524.88 = 15,285 : x
  2. Step 2: Convert to fraction form
    50,342.60/75,524.88 = 15,285/x
  3. Step 3: Cross multiply
    50,342.60x = 75,524.88 × 15,285
  4. Step 4: Simplify right side
    50,342.60x = 1,154,397,790.80
  5. Step 5: Solve for x
    x = 1,154,397,790.80/50,342.60
  6. Step 6: Final answer
    x = 22,930.83

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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.