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Finding the Fourth Proportional to 76,526.92, 114,799.14 and 20,369.44

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Solution

The fourth proportional to 76,526.92, 114,799.14 and 20,369.44 is: 30,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,526.92 : 114,799.14 = 20,369.44 : x
  2. Step 2: Convert to fraction form
    76,526.92/114,799.14 = 20,369.44/x
  3. Step 3: Cross multiply
    76,526.92x = 114,799.14 × 20,369.44
  4. Step 4: Simplify right side
    76,526.92x = 2,338,394,194.28
  5. Step 5: Solve for x
    x = 2,338,394,194.28/76,526.92
  6. Step 6: Final answer
    x = 30,556.49

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