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Finding the Fourth Proportional to 34,195, 51,295.38 and 9,571

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Solution

The fourth proportional to 34,195, 51,295.38 and 9,571 is: 14,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,195 : 51,295.38 = 9,571 : x
  2. Step 2: Convert to fraction form
    34,195/51,295.38 = 9,571/x
  3. Step 3: Cross multiply
    34,195x = 51,295.38 × 9,571
  4. Step 4: Simplify right side
    34,195x = 490,948,081.98
  5. Step 5: Solve for x
    x = 490,948,081.98/34,195
  6. Step 6: Final answer
    x = 14,357.31

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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.