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Finding the Fourth Proportional to 100,412.12, 150,619.26 and 30,292.04

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Solution

The fourth proportional to 100,412.12, 150,619.26 and 30,292.04 is: 45,438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,412.12 : 150,619.26 = 30,292.04 : x
  2. Step 2: Convert to fraction form
    100,412.12/150,619.26 = 30,292.04/x
  3. Step 3: Cross multiply
    100,412.12x = 150,619.26 × 30,292.04
  4. Step 4: Simplify right side
    100,412.12x = 4,562,564,648.69
  5. Step 5: Solve for x
    x = 4,562,564,648.69/100,412.12
  6. Step 6: Final answer
    x = 45,438.39

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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.