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Finding the Fourth Proportional to 99,078, 148,617 and 33,414

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Solution

The fourth proportional to 99,078, 148,617 and 33,414 is: 50,121

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,078 : 148,617 = 33,414 : x
  2. Step 2: Convert to fraction form
    99,078/148,617 = 33,414/x
  3. Step 3: Cross multiply
    99,078x = 148,617 × 33,414
  4. Step 4: Simplify right side
    99,078x = 4,965,888,438
  5. Step 5: Solve for x
    x = 4,965,888,438/99,078
  6. Step 6: Final answer
    x = 50,121

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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.