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Finding the Fourth Proportional to 77,889.97, 116,788.24 and 35,717.22

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Solution

The fourth proportional to 77,889.97, 116,788.24 and 35,717.22 is: 53,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,889.97 : 116,788.24 = 35,717.22 : x
  2. Step 2: Convert to fraction form
    77,889.97/116,788.24 = 35,717.22/x
  3. Step 3: Cross multiply
    77,889.97x = 116,788.24 × 35,717.22
  4. Step 4: Simplify right side
    77,889.97x = 4,171,351,205.68
  5. Step 5: Solve for x
    x = 4,171,351,205.68/77,889.97
  6. Step 6: Final answer
    x = 53,554.41

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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.