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Finding the Fourth Proportional to 83,355.96, 115,018.86 and 50,633.38

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Solution

The fourth proportional to 83,355.96, 115,018.86 and 50,633.38 is: 69,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,355.96 : 115,018.86 = 50,633.38 : x
  2. Step 2: Convert to fraction form
    83,355.96/115,018.86 = 50,633.38/x
  3. Step 3: Cross multiply
    83,355.96x = 115,018.86 × 50,633.38
  4. Step 4: Simplify right side
    83,355.96x = 5,823,793,645.55
  5. Step 5: Solve for x
    x = 5,823,793,645.55/83,355.96
  6. Step 6: Final answer
    x = 69,866.55

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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.