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Finding the Fourth Proportional to 38,141.95, 57,189.75 and 17,078.08

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Solution

The fourth proportional to 38,141.95, 57,189.75 and 17,078.08 is: 25,606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,141.95 : 57,189.75 = 17,078.08 : x
  2. Step 2: Convert to fraction form
    38,141.95/57,189.75 = 17,078.08/x
  3. Step 3: Cross multiply
    38,141.95x = 57,189.75 × 17,078.08
  4. Step 4: Simplify right side
    38,141.95x = 976,691,125.68
  5. Step 5: Solve for x
    x = 976,691,125.68/38,141.95
  6. Step 6: Final answer
    x = 25,606.74

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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.