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Finding the Fourth Proportional to 24,682.49, 37,023.70 and 8,042.49

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Solution

The fourth proportional to 24,682.49, 37,023.70 and 8,042.49 is: 12,063.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,682.49 : 37,023.70 = 8,042.49 : x
  2. Step 2: Convert to fraction form
    24,682.49/37,023.70 = 8,042.49/x
  3. Step 3: Cross multiply
    24,682.49x = 37,023.70 × 8,042.49
  4. Step 4: Simplify right side
    24,682.49x = 297,762,737.01
  5. Step 5: Solve for x
    x = 297,762,737.01/24,682.49
  6. Step 6: Final answer
    x = 12,063.72

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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.