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Finding the Fourth Proportional to 66,327, 91,531.35 and 36,519

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Solution

The fourth proportional to 66,327, 91,531.35 and 36,519 is: 50,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,327 : 91,531.35 = 36,519 : x
  2. Step 2: Convert to fraction form
    66,327/91,531.35 = 36,519/x
  3. Step 3: Cross multiply
    66,327x = 91,531.35 × 36,519
  4. Step 4: Simplify right side
    66,327x = 3,342,633,370.65
  5. Step 5: Solve for x
    x = 3,342,633,370.65/66,327
  6. Step 6: Final answer
    x = 50,396.27

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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.