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Finding the Fourth Proportional to 50,098.80, 75,141.72 and 18,930

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Solution

The fourth proportional to 50,098.80, 75,141.72 and 18,930 is: 28,392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,098.80 : 75,141.72 = 18,930 : x
  2. Step 2: Convert to fraction form
    50,098.80/75,141.72 = 18,930/x
  3. Step 3: Cross multiply
    50,098.80x = 75,141.72 × 18,930
  4. Step 4: Simplify right side
    50,098.80x = 1,422,432,759.60
  5. Step 5: Solve for x
    x = 1,422,432,759.60/50,098.80
  6. Step 6: Final answer
    x = 28,392.55

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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.