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Finding the Fourth Proportional to 34,758.24, 52,136.61 and 8,463.12

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Solution

The fourth proportional to 34,758.24, 52,136.61 and 8,463.12 is: 12,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,758.24 : 52,136.61 = 8,463.12 : x
  2. Step 2: Convert to fraction form
    34,758.24/52,136.61 = 8,463.12/x
  3. Step 3: Cross multiply
    34,758.24x = 52,136.61 × 8,463.12
  4. Step 4: Simplify right side
    34,758.24x = 441,238,386.82
  5. Step 5: Solve for x
    x = 441,238,386.82/34,758.24
  6. Step 6: Final answer
    x = 12,694.50

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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.