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Finding the Fourth Proportional to 32,883.14, 49,344.16 and 12,121.22

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Solution

The fourth proportional to 32,883.14, 49,344.16 and 12,121.22 is: 18,189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,883.14 : 49,344.16 = 12,121.22 : x
  2. Step 2: Convert to fraction form
    32,883.14/49,344.16 = 12,121.22/x
  3. Step 3: Cross multiply
    32,883.14x = 49,344.16 × 12,121.22
  4. Step 4: Simplify right side
    32,883.14x = 598,111,419.08
  5. Step 5: Solve for x
    x = 598,111,419.08/32,883.14
  6. Step 6: Final answer
    x = 18,189.00

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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.