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Finding the Fourth Proportional to 100,509.68, 150,780.90 and 33,953.78

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Solution

The fourth proportional to 100,509.68, 150,780.90 and 33,953.78 is: 50,936.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,509.68 : 150,780.90 = 33,953.78 : x
  2. Step 2: Convert to fraction form
    100,509.68/150,780.90 = 33,953.78/x
  3. Step 3: Cross multiply
    100,509.68x = 150,780.90 × 33,953.78
  4. Step 4: Simplify right side
    100,509.68x = 5,119,581,506.80
  5. Step 5: Solve for x
    x = 5,119,581,506.80/100,509.68
  6. Step 6: Final answer
    x = 50,936.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.