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Finding the Fourth Proportional to 34,568.99, 51,853.79 and 9,611

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Solution

The fourth proportional to 34,568.99, 51,853.79 and 9,611 is: 14,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,568.99 : 51,853.79 = 9,611 : x
  2. Step 2: Convert to fraction form
    34,568.99/51,853.79 = 9,611/x
  3. Step 3: Cross multiply
    34,568.99x = 51,853.79 × 9,611
  4. Step 4: Simplify right side
    34,568.99x = 498,366,775.69
  5. Step 5: Solve for x
    x = 498,366,775.69/34,568.99
  6. Step 6: Final answer
    x = 14,416.58

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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.