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Finding the Fourth Proportional to 74,144.57, 102,365.98 and 57,116.75

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Solution

The fourth proportional to 74,144.57, 102,365.98 and 57,116.75 is: 78,856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,144.57 : 102,365.98 = 57,116.75 : x
  2. Step 2: Convert to fraction form
    74,144.57/102,365.98 = 57,116.75/x
  3. Step 3: Cross multiply
    74,144.57x = 102,365.98 × 57,116.75
  4. Step 4: Simplify right side
    74,144.57x = 5,846,811,433.54
  5. Step 5: Solve for x
    x = 5,846,811,433.54/74,144.57
  6. Step 6: Final answer
    x = 78,856.91

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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.