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Finding the Fourth Proportional to 29,739.96, 44,614.80 and 12,205.08

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Solution

The fourth proportional to 29,739.96, 44,614.80 and 12,205.08 is: 18,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,739.96 : 44,614.80 = 12,205.08 : x
  2. Step 2: Convert to fraction form
    29,739.96/44,614.80 = 12,205.08/x
  3. Step 3: Cross multiply
    29,739.96x = 44,614.80 × 12,205.08
  4. Step 4: Simplify right side
    29,739.96x = 544,527,203.18
  5. Step 5: Solve for x
    x = 544,527,203.18/29,739.96
  6. Step 6: Final answer
    x = 18,309.61

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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.