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Finding the Fourth Proportional to 48,991.50, 67,608.36 and 27,772.74

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Solution

The fourth proportional to 48,991.50, 67,608.36 and 27,772.74 is: 38,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,991.50 : 67,608.36 = 27,772.74 : x
  2. Step 2: Convert to fraction form
    48,991.50/67,608.36 = 27,772.74/x
  3. Step 3: Cross multiply
    48,991.50x = 67,608.36 × 27,772.74
  4. Step 4: Simplify right side
    48,991.50x = 1,877,669,404.11
  5. Step 5: Solve for x
    x = 1,877,669,404.11/48,991.50
  6. Step 6: Final answer
    x = 38,326.43

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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.