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Finding the Fourth Proportional to 99,779.80, 149,694.32 and 29,659.12

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Solution

The fourth proportional to 99,779.80, 149,694.32 and 29,659.12 is: 44,496.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,779.80 : 149,694.32 = 29,659.12 : x
  2. Step 2: Convert to fraction form
    99,779.80/149,694.32 = 29,659.12/x
  3. Step 3: Cross multiply
    99,779.80x = 149,694.32 × 29,659.12
  4. Step 4: Simplify right side
    99,779.80x = 4,439,801,800.20
  5. Step 5: Solve for x
    x = 4,439,801,800.20/99,779.80
  6. Step 6: Final answer
    x = 44,496.00

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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.