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Finding the Fourth Proportional to 100,269.90, 150,409.35 and 32,805.78

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Solution

The fourth proportional to 100,269.90, 150,409.35 and 32,805.78 is: 49,210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,269.90 : 150,409.35 = 32,805.78 : x
  2. Step 2: Convert to fraction form
    100,269.90/150,409.35 = 32,805.78/x
  3. Step 3: Cross multiply
    100,269.90x = 150,409.35 × 32,805.78
  4. Step 4: Simplify right side
    100,269.90x = 4,934,296,046.04
  5. Step 5: Solve for x
    x = 4,934,296,046.04/100,269.90
  6. Step 6: Final answer
    x = 49,210.14

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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.