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Finding the Fourth Proportional to 100,491.94, 150,741.12 and 50,544.76

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Solution

The fourth proportional to 100,491.94, 150,741.12 and 50,544.76 is: 75,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,491.94 : 150,741.12 = 50,544.76 : x
  2. Step 2: Convert to fraction form
    100,491.94/150,741.12 = 50,544.76/x
  3. Step 3: Cross multiply
    100,491.94x = 150,741.12 × 50,544.76
  4. Step 4: Simplify right side
    100,491.94x = 7,619,173,732.53
  5. Step 5: Solve for x
    x = 7,619,173,732.53/100,491.94
  6. Step 6: Final answer
    x = 75,818.75

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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.