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Finding the Fourth Proportional to 77,067.59, 115,578.04 and 29,679.04

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Solution

The fourth proportional to 77,067.59, 115,578.04 and 29,679.04 is: 44,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,067.59 : 115,578.04 = 29,679.04 : x
  2. Step 2: Convert to fraction form
    77,067.59/115,578.04 = 29,679.04/x
  3. Step 3: Cross multiply
    77,067.59x = 115,578.04 × 29,679.04
  4. Step 4: Simplify right side
    77,067.59x = 3,430,245,473.15
  5. Step 5: Solve for x
    x = 3,430,245,473.15/77,067.59
  6. Step 6: Final answer
    x = 44,509.57

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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.