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Finding the Fourth Proportional to 51,211, 70,671.18 and 27,659

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Solution

The fourth proportional to 51,211, 70,671.18 and 27,659 is: 38,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,211 : 70,671.18 = 27,659 : x
  2. Step 2: Convert to fraction form
    51,211/70,671.18 = 27,659/x
  3. Step 3: Cross multiply
    51,211x = 70,671.18 × 27,659
  4. Step 4: Simplify right side
    51,211x = 1,954,694,167.62
  5. Step 5: Solve for x
    x = 1,954,694,167.62/51,211
  6. Step 6: Final answer
    x = 38,169.42

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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.