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Finding the Fourth Proportional to 49,939, 68,916.36 and 27,583

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Solution

The fourth proportional to 49,939, 68,916.36 and 27,583 is: 38,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,939 : 68,916.36 = 27,583 : x
  2. Step 2: Convert to fraction form
    49,939/68,916.36 = 27,583/x
  3. Step 3: Cross multiply
    49,939x = 68,916.36 × 27,583
  4. Step 4: Simplify right side
    49,939x = 1,900,919,957.88
  5. Step 5: Solve for x
    x = 1,900,919,957.88/49,939
  6. Step 6: Final answer
    x = 38,064.84

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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.