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Finding the Fourth Proportional to 29,398.24, 44,093.87 and 9,671.91

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Solution

The fourth proportional to 29,398.24, 44,093.87 and 9,671.91 is: 14,506.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,398.24 : 44,093.87 = 9,671.91 : x
  2. Step 2: Convert to fraction form
    29,398.24/44,093.87 = 9,671.91/x
  3. Step 3: Cross multiply
    29,398.24x = 44,093.87 × 9,671.91
  4. Step 4: Simplify right side
    29,398.24x = 426,471,764.75
  5. Step 5: Solve for x
    x = 426,471,764.75/29,398.24
  6. Step 6: Final answer
    x = 14,506.71

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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.