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Finding the Fourth Proportional to 51,219, 70,682.22 and 27,667

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Solution

The fourth proportional to 51,219, 70,682.22 and 27,667 is: 38,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,219 : 70,682.22 = 27,667 : x
  2. Step 2: Convert to fraction form
    51,219/70,682.22 = 27,667/x
  3. Step 3: Cross multiply
    51,219x = 70,682.22 × 27,667
  4. Step 4: Simplify right side
    51,219x = 1,955,564,980.74
  5. Step 5: Solve for x
    x = 1,955,564,980.74/51,219
  6. Step 6: Final answer
    x = 38,180.46

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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.