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Finding the Fourth Proportional to 29,468.64, 44,198.56 and 9,747.30

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Solution

The fourth proportional to 29,468.64, 44,198.56 and 9,747.30 is: 14,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,468.64 : 44,198.56 = 9,747.30 : x
  2. Step 2: Convert to fraction form
    29,468.64/44,198.56 = 9,747.30/x
  3. Step 3: Cross multiply
    29,468.64x = 44,198.56 × 9,747.30
  4. Step 4: Simplify right side
    29,468.64x = 430,816,623.89
  5. Step 5: Solve for x
    x = 430,816,623.89/29,468.64
  6. Step 6: Final answer
    x = 14,619.49

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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.