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Finding the Fourth Proportional to 100,490.94, 150,739.62 and 50,543.76

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Solution

The fourth proportional to 100,490.94, 150,739.62 and 50,543.76 is: 75,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,490.94 : 150,739.62 = 50,543.76 : x
  2. Step 2: Convert to fraction form
    100,490.94/150,739.62 = 50,543.76/x
  3. Step 3: Cross multiply
    100,490.94x = 150,739.62 × 50,543.76
  4. Step 4: Simplify right side
    100,490.94x = 7,618,947,175.77
  5. Step 5: Solve for x
    x = 7,618,947,175.77/100,490.94
  6. Step 6: Final answer
    x = 75,817.25

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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.