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Finding the Fourth Proportional to 29,304.75, 43,947.27 and 9,578.69

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Solution

The fourth proportional to 29,304.75, 43,947.27 and 9,578.69 is: 14,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,304.75 : 43,947.27 = 9,578.69 : x
  2. Step 2: Convert to fraction form
    29,304.75/43,947.27 = 9,578.69/x
  3. Step 3: Cross multiply
    29,304.75x = 43,947.27 × 9,578.69
  4. Step 4: Simplify right side
    29,304.75x = 420,957,008.05
  5. Step 5: Solve for x
    x = 420,957,008.05/29,304.75
  6. Step 6: Final answer
    x = 14,364.80

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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.