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Finding the Fourth Proportional to 32,413.60, 48,693.30 and 31,174.30

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Solution

The fourth proportional to 32,413.60, 48,693.30 and 31,174.30 is: 46,831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.60 : 48,693.30 = 31,174.30 : x
  2. Step 2: Convert to fraction form
    32,413.60/48,693.30 = 31,174.30/x
  3. Step 3: Cross multiply
    32,413.60x = 48,693.30 × 31,174.30
  4. Step 4: Simplify right side
    32,413.60x = 1,517,979,542.19
  5. Step 5: Solve for x
    x = 1,517,979,542.19/32,413.60
  6. Step 6: Final answer
    x = 46,831.56

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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.