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Finding the Fourth Proportional to 49,136.98, 67,802.18 and 27,623.78

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Solution

The fourth proportional to 49,136.98, 67,802.18 and 27,623.78 is: 38,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,136.98 : 67,802.18 = 27,623.78 : x
  2. Step 2: Convert to fraction form
    49,136.98/67,802.18 = 27,623.78/x
  3. Step 3: Cross multiply
    49,136.98x = 67,802.18 × 27,623.78
  4. Step 4: Simplify right side
    49,136.98x = 1,872,952,365.72
  5. Step 5: Solve for x
    x = 1,872,952,365.72/49,136.98
  6. Step 6: Final answer
    x = 38,116.97

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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.