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Finding the Fourth Proportional to 38,111.66, 57,187 and 18,143.74

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Solution

The fourth proportional to 38,111.66, 57,187 and 18,143.74 is: 27,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,111.66 : 57,187 = 18,143.74 : x
  2. Step 2: Convert to fraction form
    38,111.66/57,187 = 18,143.74/x
  3. Step 3: Cross multiply
    38,111.66x = 57,187 × 18,143.74
  4. Step 4: Simplify right side
    38,111.66x = 1,037,586,059.38
  5. Step 5: Solve for x
    x = 1,037,586,059.38/38,111.66
  6. Step 6: Final answer
    x = 27,224.90

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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.