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Finding the Fourth Proportional to 29,302.20, 43,961.24 and 9,578.16

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Solution

The fourth proportional to 29,302.20, 43,961.24 and 9,578.16 is: 14,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,302.20 : 43,961.24 = 9,578.16 : x
  2. Step 2: Convert to fraction form
    29,302.20/43,961.24 = 9,578.16/x
  3. Step 3: Cross multiply
    29,302.20x = 43,961.24 × 9,578.16
  4. Step 4: Simplify right side
    29,302.20x = 421,067,790.52
  5. Step 5: Solve for x
    x = 421,067,790.52/29,302.20
  6. Step 6: Final answer
    x = 14,369.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.