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Finding the Fourth Proportional to 34,052.59, 51,074.74 and 11,864.13

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Solution

The fourth proportional to 34,052.59, 51,074.74 and 11,864.13 is: 17,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,052.59 : 51,074.74 = 11,864.13 : x
  2. Step 2: Convert to fraction form
    34,052.59/51,074.74 = 11,864.13/x
  3. Step 3: Cross multiply
    34,052.59x = 51,074.74 × 11,864.13
  4. Step 4: Simplify right side
    34,052.59x = 605,957,355.08
  5. Step 5: Solve for x
    x = 605,957,355.08/34,052.59
  6. Step 6: Final answer
    x = 17,794.75

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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.