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Finding the Fourth Proportional to 77,906.09, 116,859.41 and 22,502.09

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Solution

The fourth proportional to 77,906.09, 116,859.41 and 22,502.09 is: 33,753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,906.09 : 116,859.41 = 22,502.09 : x
  2. Step 2: Convert to fraction form
    77,906.09/116,859.41 = 22,502.09/x
  3. Step 3: Cross multiply
    77,906.09x = 116,859.41 × 22,502.09
  4. Step 4: Simplify right side
    77,906.09x = 2,629,580,961.17
  5. Step 5: Solve for x
    x = 2,629,580,961.17/77,906.09
  6. Step 6: Final answer
    x = 33,753.21

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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.