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Finding the Fourth Proportional to 103,006.83, 154,579.50 and 36,446.70

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Solution

The fourth proportional to 103,006.83, 154,579.50 and 36,446.70 is: 54,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,006.83 : 154,579.50 = 36,446.70 : x
  2. Step 2: Convert to fraction form
    103,006.83/154,579.50 = 36,446.70/x
  3. Step 3: Cross multiply
    103,006.83x = 154,579.50 × 36,446.70
  4. Step 4: Simplify right side
    103,006.83x = 5,633,912,662.65
  5. Step 5: Solve for x
    x = 5,633,912,662.65/103,006.83
  6. Step 6: Final answer
    x = 54,694.55

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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.