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Finding the Fourth Proportional to 29,542.87, 44,299.51 and 9,814.51

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Solution

The fourth proportional to 29,542.87, 44,299.51 and 9,814.51 is: 14,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,542.87 : 44,299.51 = 9,814.51 : x
  2. Step 2: Convert to fraction form
    29,542.87/44,299.51 = 9,814.51/x
  3. Step 3: Cross multiply
    29,542.87x = 44,299.51 × 9,814.51
  4. Step 4: Simplify right side
    29,542.87x = 434,777,848.61
  5. Step 5: Solve for x
    x = 434,777,848.61/29,542.87
  6. Step 6: Final answer
    x = 14,716.85

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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.