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Finding the Fourth Proportional to 29,305.92, 43,954.40 and 9,584.64

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Solution

The fourth proportional to 29,305.92, 43,954.40 and 9,584.64 is: 14,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,305.92 : 43,954.40 = 9,584.64 : x
  2. Step 2: Convert to fraction form
    29,305.92/43,954.40 = 9,584.64/x
  3. Step 3: Cross multiply
    29,305.92x = 43,954.40 × 9,584.64
  4. Step 4: Simplify right side
    29,305.92x = 421,287,100.42
  5. Step 5: Solve for x
    x = 421,287,100.42/29,305.92
  6. Step 6: Final answer
    x = 14,375.49

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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.