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Finding the Fourth Proportional to 32,600.58, 48,900.34 and 10,413.81

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Solution

The fourth proportional to 32,600.58, 48,900.34 and 10,413.81 is: 15,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,600.58 : 48,900.34 = 10,413.81 : x
  2. Step 2: Convert to fraction form
    32,600.58/48,900.34 = 10,413.81/x
  3. Step 3: Cross multiply
    32,600.58x = 48,900.34 × 10,413.81
  4. Step 4: Simplify right side
    32,600.58x = 509,238,640.28
  5. Step 5: Solve for x
    x = 509,238,640.28/32,600.58
  6. Step 6: Final answer
    x = 15,620.54

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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.