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Finding the Fourth Proportional to 77,392.36, 116,060.46 and 33,023.80

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Solution

The fourth proportional to 77,392.36, 116,060.46 and 33,023.80 is: 49,523.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,392.36 : 116,060.46 = 33,023.80 : x
  2. Step 2: Convert to fraction form
    77,392.36/116,060.46 = 33,023.80/x
  3. Step 3: Cross multiply
    77,392.36x = 116,060.46 × 33,023.80
  4. Step 4: Simplify right side
    77,392.36x = 3,832,757,418.95
  5. Step 5: Solve for x
    x = 3,832,757,418.95/77,392.36
  6. Step 6: Final answer
    x = 49,523.72

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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.