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Finding the Fourth Proportional to 100,591.98, 150,920.73 and 47,994.66

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Solution

The fourth proportional to 100,591.98, 150,920.73 and 47,994.66 is: 72,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,591.98 : 150,920.73 = 47,994.66 : x
  2. Step 2: Convert to fraction form
    100,591.98/150,920.73 = 47,994.66/x
  3. Step 3: Cross multiply
    100,591.98x = 150,920.73 × 47,994.66
  4. Step 4: Simplify right side
    100,591.98x = 7,243,389,123.30
  5. Step 5: Solve for x
    x = 7,243,389,123.30/100,591.98
  6. Step 6: Final answer
    x = 72,007.62

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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.