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Finding the Fourth Proportional to 29,429.76, 44,135.04 and 9,704.64

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Solution

The fourth proportional to 29,429.76, 44,135.04 and 9,704.64 is: 14,553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,429.76 : 44,135.04 = 9,704.64 : x
  2. Step 2: Convert to fraction form
    29,429.76/44,135.04 = 9,704.64/x
  3. Step 3: Cross multiply
    29,429.76x = 44,135.04 × 9,704.64
  4. Step 4: Simplify right side
    29,429.76x = 428,314,674.59
  5. Step 5: Solve for x
    x = 428,314,674.59/29,429.76
  6. Step 6: Final answer
    x = 14,553.79

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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.