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Finding the Fourth Proportional to 61,251.68, 84,532.20 and 34,396

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Solution

The fourth proportional to 61,251.68, 84,532.20 and 34,396 is: 47,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,251.68 : 84,532.20 = 34,396 : x
  2. Step 2: Convert to fraction form
    61,251.68/84,532.20 = 34,396/x
  3. Step 3: Cross multiply
    61,251.68x = 84,532.20 × 34,396
  4. Step 4: Simplify right side
    61,251.68x = 2,907,569,551.20
  5. Step 5: Solve for x
    x = 2,907,569,551.20/61,251.68
  6. Step 6: Final answer
    x = 47,469.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.