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Finding the Fourth Proportional to 29,755, 44,634.30 and 8,978.68

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Solution

The fourth proportional to 29,755, 44,634.30 and 8,978.68 is: 13,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,755 : 44,634.30 = 8,978.68 : x
  2. Step 2: Convert to fraction form
    29,755/44,634.30 = 8,978.68/x
  3. Step 3: Cross multiply
    29,755x = 44,634.30 × 8,978.68
  4. Step 4: Simplify right side
    29,755x = 400,757,096.72
  5. Step 5: Solve for x
    x = 400,757,096.72/29,755
  6. Step 6: Final answer
    x = 13,468.56

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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.