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Finding the Fourth Proportional to 48,971.25, 67,595.70 and 27,764.64

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Solution

The fourth proportional to 48,971.25, 67,595.70 and 27,764.64 is: 38,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,971.25 : 67,595.70 = 27,764.64 : x
  2. Step 2: Convert to fraction form
    48,971.25/67,595.70 = 27,764.64/x
  3. Step 3: Cross multiply
    48,971.25x = 67,595.70 × 27,764.64
  4. Step 4: Simplify right side
    48,971.25x = 1,876,770,276.05
  5. Step 5: Solve for x
    x = 1,876,770,276.05/48,971.25
  6. Step 6: Final answer
    x = 38,323.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.