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Finding the Fourth Proportional to 69,425.78, 104,142.74 and 19,509.77

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Solution

The fourth proportional to 69,425.78, 104,142.74 and 19,509.77 is: 29,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,425.78 : 104,142.74 = 19,509.77 : x
  2. Step 2: Convert to fraction form
    69,425.78/104,142.74 = 19,509.77/x
  3. Step 3: Cross multiply
    69,425.78x = 104,142.74 × 19,509.77
  4. Step 4: Simplify right side
    69,425.78x = 2,031,801,067.38
  5. Step 5: Solve for x
    x = 2,031,801,067.38/69,425.78
  6. Step 6: Final answer
    x = 29,265.80

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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.