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Finding the Fourth Proportional to 100,575.40, 150,863.10 and 30,458.20

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Solution

The fourth proportional to 100,575.40, 150,863.10 and 30,458.20 is: 45,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,575.40 : 150,863.10 = 30,458.20 : x
  2. Step 2: Convert to fraction form
    100,575.40/150,863.10 = 30,458.20/x
  3. Step 3: Cross multiply
    100,575.40x = 150,863.10 × 30,458.20
  4. Step 4: Simplify right side
    100,575.40x = 4,595,018,472.42
  5. Step 5: Solve for x
    x = 4,595,018,472.42/100,575.40
  6. Step 6: Final answer
    x = 45,687.30

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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.