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Finding the Fourth Proportional to 24,727.50, 37,092.74 and 8,089.29

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Solution

The fourth proportional to 24,727.50, 37,092.74 and 8,089.29 is: 12,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,727.50 : 37,092.74 = 8,089.29 : x
  2. Step 2: Convert to fraction form
    24,727.50/37,092.74 = 8,089.29/x
  3. Step 3: Cross multiply
    24,727.50x = 37,092.74 × 8,089.29
  4. Step 4: Simplify right side
    24,727.50x = 300,053,890.31
  5. Step 5: Solve for x
    x = 300,053,890.31/24,727.50
  6. Step 6: Final answer
    x = 12,134.42

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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.