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Finding the Fourth Proportional to 49,217.71, 73,827.38 and 19,234.21

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Solution

The fourth proportional to 49,217.71, 73,827.38 and 19,234.21 is: 28,851.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,217.71 : 73,827.38 = 19,234.21 : x
  2. Step 2: Convert to fraction form
    49,217.71/73,827.38 = 19,234.21/x
  3. Step 3: Cross multiply
    49,217.71x = 73,827.38 × 19,234.21
  4. Step 4: Simplify right side
    49,217.71x = 1,420,011,234.50
  5. Step 5: Solve for x
    x = 1,420,011,234.50/49,217.71
  6. Step 6: Final answer
    x = 28,851.63

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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.