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Finding the Fourth Proportional to 29,819.94, 44,729.87 and 7,633.32

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Solution

The fourth proportional to 29,819.94, 44,729.87 and 7,633.32 is: 11,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,819.94 : 44,729.87 = 7,633.32 : x
  2. Step 2: Convert to fraction form
    29,819.94/44,729.87 = 7,633.32/x
  3. Step 3: Cross multiply
    29,819.94x = 44,729.87 × 7,633.32
  4. Step 4: Simplify right side
    29,819.94x = 341,437,373.10
  5. Step 5: Solve for x
    x = 341,437,373.10/29,819.94
  6. Step 6: Final answer
    x = 11,449.97

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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.