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Finding the Fourth Proportional to 48,642, 67,125.96 and 26,286

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Solution

The fourth proportional to 48,642, 67,125.96 and 26,286 is: 36,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,642 : 67,125.96 = 26,286 : x
  2. Step 2: Convert to fraction form
    48,642/67,125.96 = 26,286/x
  3. Step 3: Cross multiply
    48,642x = 67,125.96 × 26,286
  4. Step 4: Simplify right side
    48,642x = 1,764,472,984.56
  5. Step 5: Solve for x
    x = 1,764,472,984.56/48,642
  6. Step 6: Final answer
    x = 36,274.68

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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.