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Finding the Fourth Proportional to 32,144.06, 48,223.79 and 13,413.68

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Solution

The fourth proportional to 32,144.06, 48,223.79 and 13,413.68 is: 20,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144.06 : 48,223.79 = 13,413.68 : x
  2. Step 2: Convert to fraction form
    32,144.06/48,223.79 = 13,413.68/x
  3. Step 3: Cross multiply
    32,144.06x = 48,223.79 × 13,413.68
  4. Step 4: Simplify right side
    32,144.06x = 646,858,333.35
  5. Step 5: Solve for x
    x = 646,858,333.35/32,144.06
  6. Step 6: Final answer
    x = 20,123.73

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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.