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Finding the Fourth Proportional to 100,289.27, 150,433.83 and 24,387.41

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Solution

The fourth proportional to 100,289.27, 150,433.83 and 24,387.41 is: 36,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,289.27 : 150,433.83 = 24,387.41 : x
  2. Step 2: Convert to fraction form
    100,289.27/150,433.83 = 24,387.41/x
  3. Step 3: Cross multiply
    100,289.27x = 150,433.83 × 24,387.41
  4. Step 4: Simplify right side
    100,289.27x = 3,668,691,866.16
  5. Step 5: Solve for x
    x = 3,668,691,866.16/100,289.27
  6. Step 6: Final answer
    x = 36,581.10

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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.