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Finding the Fourth Proportional to 67,257.92, 92,812.32 and 37,448

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Solution

The fourth proportional to 67,257.92, 92,812.32 and 37,448 is: 51,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,257.92 : 92,812.32 = 37,448 : x
  2. Step 2: Convert to fraction form
    67,257.92/92,812.32 = 37,448/x
  3. Step 3: Cross multiply
    67,257.92x = 92,812.32 × 37,448
  4. Step 4: Simplify right side
    67,257.92x = 3,475,635,759.36
  5. Step 5: Solve for x
    x = 3,475,635,759.36/67,257.92
  6. Step 6: Final answer
    x = 51,676.23

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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.