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Finding the Fourth Proportional to 49,202.50, 67,899.09 and 27,981.74

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Solution

The fourth proportional to 49,202.50, 67,899.09 and 27,981.74 is: 38,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,202.50 : 67,899.09 = 27,981.74 : x
  2. Step 2: Convert to fraction form
    49,202.50/67,899.09 = 27,981.74/x
  3. Step 3: Cross multiply
    49,202.50x = 67,899.09 × 27,981.74
  4. Step 4: Simplify right side
    49,202.50x = 1,899,934,682.62
  5. Step 5: Solve for x
    x = 1,899,934,682.62/49,202.50
  6. Step 6: Final answer
    x = 38,614.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.