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Finding the Fourth Proportional to 77,161.88, 106,435.72 and 52,951.79

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Solution

The fourth proportional to 77,161.88, 106,435.72 and 52,951.79 is: 73,040.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,161.88 : 106,435.72 = 52,951.79 : x
  2. Step 2: Convert to fraction form
    77,161.88/106,435.72 = 52,951.79/x
  3. Step 3: Cross multiply
    77,161.88x = 106,435.72 × 52,951.79
  4. Step 4: Simplify right side
    77,161.88x = 5,635,962,226.22
  5. Step 5: Solve for x
    x = 5,635,962,226.22/77,161.88
  6. Step 6: Final answer
    x = 73,040.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.