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Finding the Fourth Proportional to 29,816.10, 44,723.84 and 7,629.30

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Solution

The fourth proportional to 29,816.10, 44,723.84 and 7,629.30 is: 11,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,816.10 : 44,723.84 = 7,629.30 : x
  2. Step 2: Convert to fraction form
    29,816.10/44,723.84 = 7,629.30/x
  3. Step 3: Cross multiply
    29,816.10x = 44,723.84 × 7,629.30
  4. Step 4: Simplify right side
    29,816.10x = 341,211,554.37
  5. Step 5: Solve for x
    x = 341,211,554.37/29,816.10
  6. Step 6: Final answer
    x = 11,443.87

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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.