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Finding the Fourth Proportional to 73,105, 109,677.66 and 23,857

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Solution

The fourth proportional to 73,105, 109,677.66 and 23,857 is: 35,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,105 : 109,677.66 = 23,857 : x
  2. Step 2: Convert to fraction form
    73,105/109,677.66 = 23,857/x
  3. Step 3: Cross multiply
    73,105x = 109,677.66 × 23,857
  4. Step 4: Simplify right side
    73,105x = 2,616,579,934.62
  5. Step 5: Solve for x
    x = 2,616,579,934.62/73,105
  6. Step 6: Final answer
    x = 35,792.08

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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.