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Finding the Fourth Proportional to 24,687.27, 37,031 and 5,967.28

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Solution

The fourth proportional to 24,687.27, 37,031 and 5,967.28 is: 8,950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,687.27 : 37,031 = 5,967.28 : x
  2. Step 2: Convert to fraction form
    24,687.27/37,031 = 5,967.28/x
  3. Step 3: Cross multiply
    24,687.27x = 37,031 × 5,967.28
  4. Step 4: Simplify right side
    24,687.27x = 220,974,345.68
  5. Step 5: Solve for x
    x = 220,974,345.68/24,687.27
  6. Step 6: Final answer
    x = 8,950.94

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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.