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Finding the Fourth Proportional to 76,101.78, 114,172.14 and 44,538.42

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Solution

The fourth proportional to 76,101.78, 114,172.14 and 44,538.42 is: 66,819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,101.78 : 114,172.14 = 44,538.42 : x
  2. Step 2: Convert to fraction form
    76,101.78/114,172.14 = 44,538.42/x
  3. Step 3: Cross multiply
    76,101.78x = 114,172.14 × 44,538.42
  4. Step 4: Simplify right side
    76,101.78x = 5,085,046,723.62
  5. Step 5: Solve for x
    x = 5,085,046,723.62/76,101.78
  6. Step 6: Final answer
    x = 66,819.02

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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.