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Finding the Fourth Proportional to 34,195.50, 51,296.13 and 9,571.50

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Solution

The fourth proportional to 34,195.50, 51,296.13 and 9,571.50 is: 14,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,195.50 : 51,296.13 = 9,571.50 : x
  2. Step 2: Convert to fraction form
    34,195.50/51,296.13 = 9,571.50/x
  3. Step 3: Cross multiply
    34,195.50x = 51,296.13 × 9,571.50
  4. Step 4: Simplify right side
    34,195.50x = 490,980,908.30
  5. Step 5: Solve for x
    x = 490,980,908.30/34,195.50
  6. Step 6: Final answer
    x = 14,358.06

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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.