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Finding the Fourth Proportional to 32,166.02, 48,262.80 and 13,450.43

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Solution

The fourth proportional to 32,166.02, 48,262.80 and 13,450.43 is: 20,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,166.02 : 48,262.80 = 13,450.43 : x
  2. Step 2: Convert to fraction form
    32,166.02/48,262.80 = 13,450.43/x
  3. Step 3: Cross multiply
    32,166.02x = 48,262.80 × 13,450.43
  4. Step 4: Simplify right side
    32,166.02x = 649,155,413.00
  5. Step 5: Solve for x
    x = 649,155,413.00/32,166.02
  6. Step 6: Final answer
    x = 20,181.40

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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.