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Finding the Fourth Proportional to 66,524, 91,803.24 and 36,716

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Solution

The fourth proportional to 66,524, 91,803.24 and 36,716 is: 50,668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,524 : 91,803.24 = 36,716 : x
  2. Step 2: Convert to fraction form
    66,524/91,803.24 = 36,716/x
  3. Step 3: Cross multiply
    66,524x = 91,803.24 × 36,716
  4. Step 4: Simplify right side
    66,524x = 3,370,647,759.84
  5. Step 5: Solve for x
    x = 3,370,647,759.84/66,524
  6. Step 6: Final answer
    x = 50,668.15

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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.