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Finding the Fourth Proportional to 100,944.20, 151,416.30 and 30,823.40

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Solution

The fourth proportional to 100,944.20, 151,416.30 and 30,823.40 is: 46,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,944.20 : 151,416.30 = 30,823.40 : x
  2. Step 2: Convert to fraction form
    100,944.20/151,416.30 = 30,823.40/x
  3. Step 3: Cross multiply
    100,944.20x = 151,416.30 × 30,823.40
  4. Step 4: Simplify right side
    100,944.20x = 4,667,165,181.42
  5. Step 5: Solve for x
    x = 4,667,165,181.42/100,944.20
  6. Step 6: Final answer
    x = 46,235.10

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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.