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Finding the Fourth Proportional to 100,447.68, 150,671.40 and 38,118.08

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Solution

The fourth proportional to 100,447.68, 150,671.40 and 38,118.08 is: 57,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,447.68 : 150,671.40 = 38,118.08 : x
  2. Step 2: Convert to fraction form
    100,447.68/150,671.40 = 38,118.08/x
  3. Step 3: Cross multiply
    100,447.68x = 150,671.40 × 38,118.08
  4. Step 4: Simplify right side
    100,447.68x = 5,743,304,478.91
  5. Step 5: Solve for x
    x = 5,743,304,478.91/100,447.68
  6. Step 6: Final answer
    x = 57,177.07

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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.