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Finding the Fourth Proportional to 77,165.40, 115,794.12 and 34,467.48

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Solution

The fourth proportional to 77,165.40, 115,794.12 and 34,467.48 is: 51,721.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,165.40 : 115,794.12 = 34,467.48 : x
  2. Step 2: Convert to fraction form
    77,165.40/115,794.12 = 34,467.48/x
  3. Step 3: Cross multiply
    77,165.40x = 115,794.12 × 34,467.48
  4. Step 4: Simplify right side
    77,165.40x = 3,991,131,515.22
  5. Step 5: Solve for x
    x = 3,991,131,515.22/77,165.40
  6. Step 6: Final answer
    x = 51,721.78

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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.