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Finding the Fourth Proportional to 100,493.87, 150,705.56 and 40,504.46

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Solution

The fourth proportional to 100,493.87, 150,705.56 and 40,504.46 is: 60,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,493.87 : 150,705.56 = 40,504.46 : x
  2. Step 2: Convert to fraction form
    100,493.87/150,705.56 = 40,504.46/x
  3. Step 3: Cross multiply
    100,493.87x = 150,705.56 × 40,504.46
  4. Step 4: Simplify right side
    100,493.87x = 6,104,246,674.53
  5. Step 5: Solve for x
    x = 6,104,246,674.53/100,493.87
  6. Step 6: Final answer
    x = 60,742.48

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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.