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Finding the Fourth Proportional to 100,047.64, 150,033.79 and 40,851.62

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Solution

The fourth proportional to 100,047.64, 150,033.79 and 40,851.62 is: 61,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,047.64 : 150,033.79 = 40,851.62 : x
  2. Step 2: Convert to fraction form
    100,047.64/150,033.79 = 40,851.62/x
  3. Step 3: Cross multiply
    100,047.64x = 150,033.79 × 40,851.62
  4. Step 4: Simplify right side
    100,047.64x = 6,129,123,171.98
  5. Step 5: Solve for x
    x = 6,129,123,171.98/100,047.64
  6. Step 6: Final answer
    x = 61,262.05

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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.