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Finding the Fourth Proportional to 67,275, 92,839.50 and 37,467

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Solution

The fourth proportional to 67,275, 92,839.50 and 37,467 is: 51,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,275 : 92,839.50 = 37,467 : x
  2. Step 2: Convert to fraction form
    67,275/92,839.50 = 37,467/x
  3. Step 3: Cross multiply
    67,275x = 92,839.50 × 37,467
  4. Step 4: Simplify right side
    67,275x = 3,478,417,546.50
  5. Step 5: Solve for x
    x = 3,478,417,546.50/67,275
  6. Step 6: Final answer
    x = 51,704.46

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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.