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Finding the Fourth Proportional to 77,818.80, 116,766.36 and 27,902.82

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Solution

The fourth proportional to 77,818.80, 116,766.36 and 27,902.82 is: 41,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,818.80 : 116,766.36 = 27,902.82 : x
  2. Step 2: Convert to fraction form
    77,818.80/116,766.36 = 27,902.82/x
  3. Step 3: Cross multiply
    77,818.80x = 116,766.36 × 27,902.82
  4. Step 4: Simplify right side
    77,818.80x = 3,258,110,725.14
  5. Step 5: Solve for x
    x = 3,258,110,725.14/77,818.80
  6. Step 6: Final answer
    x = 41,867.91

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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.