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Finding the Fourth Proportional to 137,879.33, 206,794.35 and 36,677.93

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Solution

The fourth proportional to 137,879.33, 206,794.35 and 36,677.93 is: 55,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,879.33 : 206,794.35 = 36,677.93 : x
  2. Step 2: Convert to fraction form
    137,879.33/206,794.35 = 36,677.93/x
  3. Step 3: Cross multiply
    137,879.33x = 206,794.35 × 36,677.93
  4. Step 4: Simplify right side
    137,879.33x = 7,584,787,659.72
  5. Step 5: Solve for x
    x = 7,584,787,659.72/137,879.33
  6. Step 6: Final answer
    x = 55,010.33

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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.