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Finding the Fourth Proportional to 103,161.16, 154,690.71 and 36,591.31

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Solution

The fourth proportional to 103,161.16, 154,690.71 and 36,591.31 is: 54,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,161.16 : 154,690.71 = 36,591.31 : x
  2. Step 2: Convert to fraction form
    103,161.16/154,690.71 = 36,591.31/x
  3. Step 3: Cross multiply
    103,161.16x = 154,690.71 × 36,591.31
  4. Step 4: Simplify right side
    103,161.16x = 5,660,335,723.73
  5. Step 5: Solve for x
    x = 5,660,335,723.73/103,161.16
  6. Step 6: Final answer
    x = 54,868.86

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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.