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Finding the Fourth Proportional to 66,542.82, 91,830.53 and 36,329.41

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Solution

The fourth proportional to 66,542.82, 91,830.53 and 36,329.41 is: 50,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,542.82 : 91,830.53 = 36,329.41 : x
  2. Step 2: Convert to fraction form
    66,542.82/91,830.53 = 36,329.41/x
  3. Step 3: Cross multiply
    66,542.82x = 91,830.53 × 36,329.41
  4. Step 4: Simplify right side
    66,542.82x = 3,336,148,974.89
  5. Step 5: Solve for x
    x = 3,336,148,974.89/66,542.82
  6. Step 6: Final answer
    x = 50,135.37

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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.