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Finding the Fourth Proportional to 29,723.20, 44,602.08 and 12,205.60

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Solution

The fourth proportional to 29,723.20, 44,602.08 and 12,205.60 is: 18,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,723.20 : 44,602.08 = 12,205.60 : x
  2. Step 2: Convert to fraction form
    29,723.20/44,602.08 = 12,205.60/x
  3. Step 3: Cross multiply
    29,723.20x = 44,602.08 × 12,205.60
  4. Step 4: Simplify right side
    29,723.20x = 544,395,147.65
  5. Step 5: Solve for x
    x = 544,395,147.65/29,723.20
  6. Step 6: Final answer
    x = 18,315.50

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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.