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Finding the Fourth Proportional to 100,506.68, 150,776.40 and 33,950.78

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Solution

The fourth proportional to 100,506.68, 150,776.40 and 33,950.78 is: 50,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,506.68 : 150,776.40 = 33,950.78 : x
  2. Step 2: Convert to fraction form
    100,506.68/150,776.40 = 33,950.78/x
  3. Step 3: Cross multiply
    100,506.68x = 150,776.40 × 33,950.78
  4. Step 4: Simplify right side
    100,506.68x = 5,118,976,385.59
  5. Step 5: Solve for x
    x = 5,118,976,385.59/100,506.68
  6. Step 6: Final answer
    x = 50,931.70

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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.