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Finding the Fourth Proportional to 106,591.39, 159,859.24 and 31,691.36

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Solution

The fourth proportional to 106,591.39, 159,859.24 and 31,691.36 is: 47,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,591.39 : 159,859.24 = 31,691.36 : x
  2. Step 2: Convert to fraction form
    106,591.39/159,859.24 = 31,691.36/x
  3. Step 3: Cross multiply
    106,591.39x = 159,859.24 × 31,691.36
  4. Step 4: Simplify right side
    106,591.39x = 5,066,157,044.59
  5. Step 5: Solve for x
    x = 5,066,157,044.59/106,591.39
  6. Step 6: Final answer
    x = 47,528.77

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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.