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Finding the Fourth Proportional to 66,275, 91,459.50 and 36,467

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Solution

The fourth proportional to 66,275, 91,459.50 and 36,467 is: 50,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,275 : 91,459.50 = 36,467 : x
  2. Step 2: Convert to fraction form
    66,275/91,459.50 = 36,467/x
  3. Step 3: Cross multiply
    66,275x = 91,459.50 × 36,467
  4. Step 4: Simplify right side
    66,275x = 3,335,253,586.50
  5. Step 5: Solve for x
    x = 3,335,253,586.50/66,275
  6. Step 6: Final answer
    x = 50,324.46

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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.