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Finding the Fourth Proportional to 73,205.20, 109,734.90 and 33,693.40

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Solution

The fourth proportional to 73,205.20, 109,734.90 and 33,693.40 is: 50,506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,205.20 : 109,734.90 = 33,693.40 : x
  2. Step 2: Convert to fraction form
    73,205.20/109,734.90 = 33,693.40/x
  3. Step 3: Cross multiply
    73,205.20x = 109,734.90 × 33,693.40
  4. Step 4: Simplify right side
    73,205.20x = 3,697,341,879.66
  5. Step 5: Solve for x
    x = 3,697,341,879.66/73,205.20
  6. Step 6: Final answer
    x = 50,506.55

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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.