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Finding the Fourth Proportional to 77,893.68, 116,793.72 and 30,452.25

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Solution

The fourth proportional to 77,893.68, 116,793.72 and 30,452.25 is: 45,660.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,893.68 : 116,793.72 = 30,452.25 : x
  2. Step 2: Convert to fraction form
    77,893.68/116,793.72 = 30,452.25/x
  3. Step 3: Cross multiply
    77,893.68x = 116,793.72 × 30,452.25
  4. Step 4: Simplify right side
    77,893.68x = 3,556,632,083.49
  5. Step 5: Solve for x
    x = 3,556,632,083.49/77,893.68
  6. Step 6: Final answer
    x = 45,660.09

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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.