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Finding the Fourth Proportional to 100,452.10, 150,678.15 and 30,322.30

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Solution

The fourth proportional to 100,452.10, 150,678.15 and 30,322.30 is: 45,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,452.10 : 150,678.15 = 30,322.30 : x
  2. Step 2: Convert to fraction form
    100,452.10/150,678.15 = 30,322.30/x
  3. Step 3: Cross multiply
    100,452.10x = 150,678.15 × 30,322.30
  4. Step 4: Simplify right side
    100,452.10x = 4,568,908,067.75
  5. Step 5: Solve for x
    x = 4,568,908,067.75/100,452.10
  6. Step 6: Final answer
    x = 45,483.45

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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.