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Finding the Fourth Proportional to 74,615, 111,922.50 and 25,367

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Solution

The fourth proportional to 74,615, 111,922.50 and 25,367 is: 38,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,615 : 111,922.50 = 25,367 : x
  2. Step 2: Convert to fraction form
    74,615/111,922.50 = 25,367/x
  3. Step 3: Cross multiply
    74,615x = 111,922.50 × 25,367
  4. Step 4: Simplify right side
    74,615x = 2,839,138,057.50
  5. Step 5: Solve for x
    x = 2,839,138,057.50/74,615
  6. Step 6: Final answer
    x = 38,050.50

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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.