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Finding the Fourth Proportional to 100,412.10, 150,614.28 and 30,289.50

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Solution

The fourth proportional to 100,412.10, 150,614.28 and 30,289.50 is: 45,433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,412.10 : 150,614.28 = 30,289.50 : x
  2. Step 2: Convert to fraction form
    100,412.10/150,614.28 = 30,289.50/x
  3. Step 3: Cross multiply
    100,412.10x = 150,614.28 × 30,289.50
  4. Step 4: Simplify right side
    100,412.10x = 4,562,031,234.06
  5. Step 5: Solve for x
    x = 4,562,031,234.06/100,412.10
  6. Step 6: Final answer
    x = 45,433.08

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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.