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Finding the Fourth Proportional to 34,067.60, 47,000.24 and 25,136.42

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Solution

The fourth proportional to 34,067.60, 47,000.24 and 25,136.42 is: 34,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,067.60 : 47,000.24 = 25,136.42 : x
  2. Step 2: Convert to fraction form
    34,067.60/47,000.24 = 25,136.42/x
  3. Step 3: Cross multiply
    34,067.60x = 47,000.24 × 25,136.42
  4. Step 4: Simplify right side
    34,067.60x = 1,181,417,772.74
  5. Step 5: Solve for x
    x = 1,181,417,772.74/34,067.60
  6. Step 6: Final answer
    x = 34,678.63

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