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Finding the Fourth Proportional to 29,410.50, 44,115.75 and 8,634

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Solution

The fourth proportional to 29,410.50, 44,115.75 and 8,634 is: 12,951

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,410.50 : 44,115.75 = 8,634 : x
  2. Step 2: Convert to fraction form
    29,410.50/44,115.75 = 8,634/x
  3. Step 3: Cross multiply
    29,410.50x = 44,115.75 × 8,634
  4. Step 4: Simplify right side
    29,410.50x = 380,895,385.50
  5. Step 5: Solve for x
    x = 380,895,385.50/29,410.50
  6. Step 6: Final answer
    x = 12,951

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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.