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Finding the Fourth Proportional to 34,019.30, 51,052.16 and 11,832.44

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Solution

The fourth proportional to 34,019.30, 51,052.16 and 11,832.44 is: 17,756.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,019.30 : 51,052.16 = 11,832.44 : x
  2. Step 2: Convert to fraction form
    34,019.30/51,052.16 = 11,832.44/x
  3. Step 3: Cross multiply
    34,019.30x = 51,052.16 × 11,832.44
  4. Step 4: Simplify right side
    34,019.30x = 604,071,620.07
  5. Step 5: Solve for x
    x = 604,071,620.07/34,019.30
  6. Step 6: Final answer
    x = 17,756.73

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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.