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Finding the Fourth Proportional to 77,797.33, 116,708.31 and 27,876.32

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Solution

The fourth proportional to 77,797.33, 116,708.31 and 27,876.32 is: 41,818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,797.33 : 116,708.31 = 27,876.32 : x
  2. Step 2: Convert to fraction form
    77,797.33/116,708.31 = 27,876.32/x
  3. Step 3: Cross multiply
    77,797.33x = 116,708.31 × 27,876.32
  4. Step 4: Simplify right side
    77,797.33x = 3,253,398,706.82
  5. Step 5: Solve for x
    x = 3,253,398,706.82/77,797.33
  6. Step 6: Final answer
    x = 41,818.90

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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.