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Finding the Fourth Proportional to 83,493.93, 115,179.27 and 52,815.33

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Solution

The fourth proportional to 83,493.93, 115,179.27 and 52,815.33 is: 72,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,493.93 : 115,179.27 = 52,815.33 : x
  2. Step 2: Convert to fraction form
    83,493.93/115,179.27 = 52,815.33/x
  3. Step 3: Cross multiply
    83,493.93x = 115,179.27 × 52,815.33
  4. Step 4: Simplify right side
    83,493.93x = 6,083,230,794.18
  5. Step 5: Solve for x
    x = 6,083,230,794.18/83,493.93
  6. Step 6: Final answer
    x = 72,858.36

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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.