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Finding the Fourth Proportional to 34,255, 51,382.52 and 9,631

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Solution

The fourth proportional to 34,255, 51,382.52 and 9,631 is: 14,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,255 : 51,382.52 = 9,631 : x
  2. Step 2: Convert to fraction form
    34,255/51,382.52 = 9,631/x
  3. Step 3: Cross multiply
    34,255x = 51,382.52 × 9,631
  4. Step 4: Simplify right side
    34,255x = 494,865,050.12
  5. Step 5: Solve for x
    x = 494,865,050.12/34,255
  6. Step 6: Final answer
    x = 14,446.51

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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.