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Finding the Fourth Proportional to 50,097.50, 75,151.23 and 18,515.84

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Solution

The fourth proportional to 50,097.50, 75,151.23 and 18,515.84 is: 27,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,097.50 : 75,151.23 = 18,515.84 : x
  2. Step 2: Convert to fraction form
    50,097.50/75,151.23 = 18,515.84/x
  3. Step 3: Cross multiply
    50,097.50x = 75,151.23 × 18,515.84
  4. Step 4: Simplify right side
    50,097.50x = 1,391,488,150.48
  5. Step 5: Solve for x
    x = 1,391,488,150.48/50,097.50
  6. Step 6: Final answer
    x = 27,775.60

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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.