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Finding the Fourth Proportional to 38,293.82, 57,382.05 and 25,767.50

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Solution

The fourth proportional to 38,293.82, 57,382.05 and 25,767.50 is: 38,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,293.82 : 57,382.05 = 25,767.50 : x
  2. Step 2: Convert to fraction form
    38,293.82/57,382.05 = 25,767.50/x
  3. Step 3: Cross multiply
    38,293.82x = 57,382.05 × 25,767.50
  4. Step 4: Simplify right side
    38,293.82x = 1,478,591,973.38
  5. Step 5: Solve for x
    x = 1,478,591,973.38/38,293.82
  6. Step 6: Final answer
    x = 38,611.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.