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Finding the Fourth Proportional to 83,593.84, 115,369.64 and 47,785.36

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Solution

The fourth proportional to 83,593.84, 115,369.64 and 47,785.36 is: 65,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,593.84 : 115,369.64 = 47,785.36 : x
  2. Step 2: Convert to fraction form
    83,593.84/115,369.64 = 47,785.36/x
  3. Step 3: Cross multiply
    83,593.84x = 115,369.64 × 47,785.36
  4. Step 4: Simplify right side
    83,593.84x = 5,512,979,780.47
  5. Step 5: Solve for x
    x = 5,512,979,780.47/83,593.84
  6. Step 6: Final answer
    x = 65,949.59

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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.