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Finding the Fourth Proportional to 34,065.87, 51,106.89 and 11,578.05

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Solution

The fourth proportional to 34,065.87, 51,106.89 and 11,578.05 is: 17,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,065.87 : 51,106.89 = 11,578.05 : x
  2. Step 2: Convert to fraction form
    34,065.87/51,106.89 = 11,578.05/x
  3. Step 3: Cross multiply
    34,065.87x = 51,106.89 × 11,578.05
  4. Step 4: Simplify right side
    34,065.87x = 591,718,127.76
  5. Step 5: Solve for x
    x = 591,718,127.76/34,065.87
  6. Step 6: Final answer
    x = 17,369.82

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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.