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Finding the Fourth Proportional to 29,294.68, 43,947.82 and 9,567.96

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Solution

The fourth proportional to 29,294.68, 43,947.82 and 9,567.96 is: 14,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,294.68 : 43,947.82 = 9,567.96 : x
  2. Step 2: Convert to fraction form
    29,294.68/43,947.82 = 9,567.96/x
  3. Step 3: Cross multiply
    29,294.68x = 43,947.82 × 9,567.96
  4. Step 4: Simplify right side
    29,294.68x = 420,490,983.85
  5. Step 5: Solve for x
    x = 420,490,983.85/29,294.68
  6. Step 6: Final answer
    x = 14,353.83

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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.