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Finding the Fourth Proportional to 68,811.50, 103,082.76 and 47,413.69

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Solution

The fourth proportional to 68,811.50, 103,082.76 and 47,413.69 is: 71,027.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,811.50 : 103,082.76 = 47,413.69 : x
  2. Step 2: Convert to fraction form
    68,811.50/103,082.76 = 47,413.69/x
  3. Step 3: Cross multiply
    68,811.50x = 103,082.76 × 47,413.69
  4. Step 4: Simplify right side
    68,811.50x = 4,887,533,769.28
  5. Step 5: Solve for x
    x = 4,887,533,769.28/68,811.50
  6. Step 6: Final answer
    x = 71,027.86

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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.