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Finding the Fourth Proportional to 48,971.50, 67,596.04 and 27,764.88

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Solution

The fourth proportional to 48,971.50, 67,596.04 and 27,764.88 is: 38,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,971.50 : 67,596.04 = 27,764.88 : x
  2. Step 2: Convert to fraction form
    48,971.50/67,596.04 = 27,764.88/x
  3. Step 3: Cross multiply
    48,971.50x = 67,596.04 × 27,764.88
  4. Step 4: Simplify right side
    48,971.50x = 1,876,795,939.08
  5. Step 5: Solve for x
    x = 1,876,795,939.08/48,971.50
  6. Step 6: Final answer
    x = 38,324.25

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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.