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Finding the Fourth Proportional to 34,651.57, 51,977.24 and 8,356.31

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Solution

The fourth proportional to 34,651.57, 51,977.24 and 8,356.31 is: 12,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.57 : 51,977.24 = 8,356.31 : x
  2. Step 2: Convert to fraction form
    34,651.57/51,977.24 = 8,356.31/x
  3. Step 3: Cross multiply
    34,651.57x = 51,977.24 × 8,356.31
  4. Step 4: Simplify right side
    34,651.57x = 434,338,194.34
  5. Step 5: Solve for x
    x = 434,338,194.34/34,651.57
  6. Step 6: Final answer
    x = 12,534.44

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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.