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Finding the Fourth Proportional to 49,136.12, 67,809.68 and 27,919

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Solution

The fourth proportional to 49,136.12, 67,809.68 and 27,919 is: 38,529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,136.12 : 67,809.68 = 27,919 : x
  2. Step 2: Convert to fraction form
    49,136.12/67,809.68 = 27,919/x
  3. Step 3: Cross multiply
    49,136.12x = 67,809.68 × 27,919
  4. Step 4: Simplify right side
    49,136.12x = 1,893,178,455.92
  5. Step 5: Solve for x
    x = 1,893,178,455.92/49,136.12
  6. Step 6: Final answer
    x = 38,529.26

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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.