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Finding the Fourth Proportional to 32,413.50, 48,628.46 and 9,039.94

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Solution

The fourth proportional to 32,413.50, 48,628.46 and 9,039.94 is: 13,562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.50 : 48,628.46 = 9,039.94 : x
  2. Step 2: Convert to fraction form
    32,413.50/48,628.46 = 9,039.94/x
  3. Step 3: Cross multiply
    32,413.50x = 48,628.46 × 9,039.94
  4. Step 4: Simplify right side
    32,413.50x = 439,598,193.92
  5. Step 5: Solve for x
    x = 439,598,193.92/32,413.50
  6. Step 6: Final answer
    x = 13,562.19

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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.