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Finding the Fourth Proportional to 34,596.87, 51,894.38 and 9,635.91

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Solution

The fourth proportional to 34,596.87, 51,894.38 and 9,635.91 is: 14,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,596.87 : 51,894.38 = 9,635.91 : x
  2. Step 2: Convert to fraction form
    34,596.87/51,894.38 = 9,635.91/x
  3. Step 3: Cross multiply
    34,596.87x = 51,894.38 × 9,635.91
  4. Step 4: Simplify right side
    34,596.87x = 500,049,527.01
  5. Step 5: Solve for x
    x = 500,049,527.01/34,596.87
  6. Step 6: Final answer
    x = 14,453.61

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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.