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Finding the Fourth Proportional to 38,182.60, 57,288.30 and 18,478.60

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Solution

The fourth proportional to 38,182.60, 57,288.30 and 18,478.60 is: 27,724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,182.60 : 57,288.30 = 18,478.60 : x
  2. Step 2: Convert to fraction form
    38,182.60/57,288.30 = 18,478.60/x
  3. Step 3: Cross multiply
    38,182.60x = 57,288.30 × 18,478.60
  4. Step 4: Simplify right side
    38,182.60x = 1,058,607,580.38
  5. Step 5: Solve for x
    x = 1,058,607,580.38/38,182.60
  6. Step 6: Final answer
    x = 27,724.87

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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.