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Finding the Fourth Proportional to 50,198.78, 75,198.54 and 34,364.90

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Solution

The fourth proportional to 50,198.78, 75,198.54 and 34,364.90 is: 51,479.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,198.78 : 75,198.54 = 34,364.90 : x
  2. Step 2: Convert to fraction form
    50,198.78/75,198.54 = 34,364.90/x
  3. Step 3: Cross multiply
    50,198.78x = 75,198.54 × 34,364.90
  4. Step 4: Simplify right side
    50,198.78x = 2,584,190,307.25
  5. Step 5: Solve for x
    x = 2,584,190,307.25/50,198.78
  6. Step 6: Final answer
    x = 51,479.15

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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.