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Finding the Fourth Proportional to 24,697.26, 37,049.14 and 8,051.46

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Solution

The fourth proportional to 24,697.26, 37,049.14 and 8,051.46 is: 12,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.26 : 37,049.14 = 8,051.46 : x
  2. Step 2: Convert to fraction form
    24,697.26/37,049.14 = 8,051.46/x
  3. Step 3: Cross multiply
    24,697.26x = 37,049.14 × 8,051.46
  4. Step 4: Simplify right side
    24,697.26x = 298,299,668.74
  5. Step 5: Solve for x
    x = 298,299,668.74/24,697.26
  6. Step 6: Final answer
    x = 12,078.25

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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.