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Finding the Fourth Proportional to 48,734, 67,217.36 and 37,274.88

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Solution

The fourth proportional to 48,734, 67,217.36 and 37,274.88 is: 51,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,734 : 67,217.36 = 37,274.88 : x
  2. Step 2: Convert to fraction form
    48,734/67,217.36 = 37,274.88/x
  3. Step 3: Cross multiply
    48,734x = 67,217.36 × 37,274.88
  4. Step 4: Simplify right side
    48,734x = 2,505,519,027.92
  5. Step 5: Solve for x
    x = 2,505,519,027.92/48,734
  6. Step 6: Final answer
    x = 51,412.14

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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.