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Finding the Fourth Proportional to 77,781.38, 107,321.64 and 49,492.52

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Solution

The fourth proportional to 77,781.38, 107,321.64 and 49,492.52 is: 68,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,781.38 : 107,321.64 = 49,492.52 : x
  2. Step 2: Convert to fraction form
    77,781.38/107,321.64 = 49,492.52/x
  3. Step 3: Cross multiply
    77,781.38x = 107,321.64 × 49,492.52
  4. Step 4: Simplify right side
    77,781.38x = 5,311,618,414.13
  5. Step 5: Solve for x
    x = 5,311,618,414.13/77,781.38
  6. Step 6: Final answer
    x = 68,289.07

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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.