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Finding the Fourth Proportional to 83,500.65, 125,219.86 and 33,563.90

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Solution

The fourth proportional to 83,500.65, 125,219.86 and 33,563.90 is: 50,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,500.65 : 125,219.86 = 33,563.90 : x
  2. Step 2: Convert to fraction form
    83,500.65/125,219.86 = 33,563.90/x
  3. Step 3: Cross multiply
    83,500.65x = 125,219.86 × 33,563.90
  4. Step 4: Simplify right side
    83,500.65x = 4,202,867,088.19
  5. Step 5: Solve for x
    x = 4,202,867,088.19/83,500.65
  6. Step 6: Final answer
    x = 50,333.35

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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.