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Finding the Fourth Proportional to 99,779.91, 149,694.57 and 29,659.02

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Solution

The fourth proportional to 99,779.91, 149,694.57 and 29,659.02 is: 44,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,779.91 : 149,694.57 = 29,659.02 : x
  2. Step 2: Convert to fraction form
    99,779.91/149,694.57 = 29,659.02/x
  3. Step 3: Cross multiply
    99,779.91x = 149,694.57 × 29,659.02
  4. Step 4: Simplify right side
    99,779.91x = 4,439,794,245.52
  5. Step 5: Solve for x
    x = 4,439,794,245.52/99,779.91
  6. Step 6: Final answer
    x = 44,495.87

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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.