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Finding the Fourth Proportional to 100,503.68, 150,771.90 and 33,947.78

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Solution

The fourth proportional to 100,503.68, 150,771.90 and 33,947.78 is: 50,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,503.68 : 150,771.90 = 33,947.78 : x
  2. Step 2: Convert to fraction form
    100,503.68/150,771.90 = 33,947.78/x
  3. Step 3: Cross multiply
    100,503.68x = 150,771.90 × 33,947.78
  4. Step 4: Simplify right side
    100,503.68x = 5,118,371,291.38
  5. Step 5: Solve for x
    x = 5,118,371,291.38/100,503.68
  6. Step 6: Final answer
    x = 50,927.20

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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.