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Finding the Fourth Proportional to 31,462.60, 43,413.78 and 20,835.40

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Solution

The fourth proportional to 31,462.60, 43,413.78 and 20,835.40 is: 28,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.60 : 43,413.78 = 20,835.40 : x
  2. Step 2: Convert to fraction form
    31,462.60/43,413.78 = 20,835.40/x
  3. Step 3: Cross multiply
    31,462.60x = 43,413.78 × 20,835.40
  4. Step 4: Simplify right side
    31,462.60x = 904,543,471.81
  5. Step 5: Solve for x
    x = 904,543,471.81/31,462.60
  6. Step 6: Final answer
    x = 28,749.80

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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.