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Finding the Fourth Proportional to 110,443.20, 165,664.80 and 40,324.80

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Solution

The fourth proportional to 110,443.20, 165,664.80 and 40,324.80 is: 60,487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,443.20 : 165,664.80 = 40,324.80 : x
  2. Step 2: Convert to fraction form
    110,443.20/165,664.80 = 40,324.80/x
  3. Step 3: Cross multiply
    110,443.20x = 165,664.80 × 40,324.80
  4. Step 4: Simplify right side
    110,443.20x = 6,680,399,927.04
  5. Step 5: Solve for x
    x = 6,680,399,927.04/110,443.20
  6. Step 6: Final answer
    x = 60,487.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.