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Finding the Fourth Proportional to 100,426.68, 150,639.96 and 38,097.18

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Solution

The fourth proportional to 100,426.68, 150,639.96 and 38,097.18 is: 57,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,426.68 : 150,639.96 = 38,097.18 : x
  2. Step 2: Convert to fraction form
    100,426.68/150,639.96 = 38,097.18/x
  3. Step 3: Cross multiply
    100,426.68x = 150,639.96 × 38,097.18
  4. Step 4: Simplify right side
    100,426.68x = 5,738,957,671.31
  5. Step 5: Solve for x
    x = 5,738,957,671.31/100,426.68
  6. Step 6: Final answer
    x = 57,145.75

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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.