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Finding the Fourth Proportional to 100,406.17, 150,565.51 and 33,833.89

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Solution

The fourth proportional to 100,406.17, 150,565.51 and 33,833.89 is: 50,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,406.17 : 150,565.51 = 33,833.89 : x
  2. Step 2: Convert to fraction form
    100,406.17/150,565.51 = 33,833.89/x
  3. Step 3: Cross multiply
    100,406.17x = 150,565.51 × 33,833.89
  4. Step 4: Simplify right side
    100,406.17x = 5,094,216,903.13
  5. Step 5: Solve for x
    x = 5,094,216,903.13/100,406.17
  6. Step 6: Final answer
    x = 50,736.09

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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.