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Finding the Fourth Proportional to 98,606, 147,909 and 32,942

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Solution

The fourth proportional to 98,606, 147,909 and 32,942 is: 49,413

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,606 : 147,909 = 32,942 : x
  2. Step 2: Convert to fraction form
    98,606/147,909 = 32,942/x
  3. Step 3: Cross multiply
    98,606x = 147,909 × 32,942
  4. Step 4: Simplify right side
    98,606x = 4,872,418,278
  5. Step 5: Solve for x
    x = 4,872,418,278/98,606
  6. Step 6: Final answer
    x = 49,413

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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.