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Finding the Fourth Proportional to 69,865.17, 96,413.64 and 39,234

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Solution

The fourth proportional to 69,865.17, 96,413.64 and 39,234 is: 54,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,865.17 : 96,413.64 = 39,234 : x
  2. Step 2: Convert to fraction form
    69,865.17/96,413.64 = 39,234/x
  3. Step 3: Cross multiply
    69,865.17x = 96,413.64 × 39,234
  4. Step 4: Simplify right side
    69,865.17x = 3,782,692,751.76
  5. Step 5: Solve for x
    x = 3,782,692,751.76/69,865.17
  6. Step 6: Final answer
    x = 54,142.76

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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.