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Finding the Fourth Proportional to 34,067.77, 51,097.76 and 9,109.77

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Solution

The fourth proportional to 34,067.77, 51,097.76 and 9,109.77 is: 13,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,067.77 : 51,097.76 = 9,109.77 : x
  2. Step 2: Convert to fraction form
    34,067.77/51,097.76 = 9,109.77/x
  3. Step 3: Cross multiply
    34,067.77x = 51,097.76 × 9,109.77
  4. Step 4: Simplify right side
    34,067.77x = 465,488,562.85
  5. Step 5: Solve for x
    x = 465,488,562.85/34,067.77
  6. Step 6: Final answer
    x = 13,663.60

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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.