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Finding the Fourth Proportional to 52,413.94, 78,620.52 and 31,359.81

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Solution

The fourth proportional to 52,413.94, 78,620.52 and 31,359.81 is: 47,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,413.94 : 78,620.52 = 31,359.81 : x
  2. Step 2: Convert to fraction form
    52,413.94/78,620.52 = 31,359.81/x
  3. Step 3: Cross multiply
    52,413.94x = 78,620.52 × 31,359.81
  4. Step 4: Simplify right side
    52,413.94x = 2,465,524,539.49
  5. Step 5: Solve for x
    x = 2,465,524,539.49/52,413.94
  6. Step 6: Final answer
    x = 47,039.49

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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.