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Finding the Fourth Proportional to 34,578.75, 51,868.17 and 9,618.81

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Solution

The fourth proportional to 34,578.75, 51,868.17 and 9,618.81 is: 14,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,578.75 : 51,868.17 = 9,618.81 : x
  2. Step 2: Convert to fraction form
    34,578.75/51,868.17 = 9,618.81/x
  3. Step 3: Cross multiply
    34,578.75x = 51,868.17 × 9,618.81
  4. Step 4: Simplify right side
    34,578.75x = 498,910,072.28
  5. Step 5: Solve for x
    x = 498,910,072.28/34,578.75
  6. Step 6: Final answer
    x = 14,428.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.