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Finding the Fourth Proportional to 77,350.20, 106,794.72 and 59,413.14

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Solution

The fourth proportional to 77,350.20, 106,794.72 and 59,413.14 is: 82,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,350.20 : 106,794.72 = 59,413.14 : x
  2. Step 2: Convert to fraction form
    77,350.20/106,794.72 = 59,413.14/x
  3. Step 3: Cross multiply
    77,350.20x = 106,794.72 × 59,413.14
  4. Step 4: Simplify right side
    77,350.20x = 6,345,009,650.62
  5. Step 5: Solve for x
    x = 6,345,009,650.62/77,350.20
  6. Step 6: Final answer
    x = 82,029.65

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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.