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Finding the Fourth Proportional to 66,755.34, 100,132.76 and 27,312.44

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Solution

The fourth proportional to 66,755.34, 100,132.76 and 27,312.44 is: 40,968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,755.34 : 100,132.76 = 27,312.44 : x
  2. Step 2: Convert to fraction form
    66,755.34/100,132.76 = 27,312.44/x
  3. Step 3: Cross multiply
    66,755.34x = 100,132.76 × 27,312.44
  4. Step 4: Simplify right side
    66,755.34x = 2,734,869,976.77
  5. Step 5: Solve for x
    x = 2,734,869,976.77/66,755.34
  6. Step 6: Final answer
    x = 40,968.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.