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Finding the Fourth Proportional to 110,409.20, 165,622.80 and 47,229.80

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Solution

The fourth proportional to 110,409.20, 165,622.80 and 47,229.80 is: 70,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,409.20 : 165,622.80 = 47,229.80 : x
  2. Step 2: Convert to fraction form
    110,409.20/165,622.80 = 47,229.80/x
  3. Step 3: Cross multiply
    110,409.20x = 165,622.80 × 47,229.80
  4. Step 4: Simplify right side
    110,409.20x = 7,822,331,719.44
  5. Step 5: Solve for x
    x = 7,822,331,719.44/110,409.20
  6. Step 6: Final answer
    x = 70,848.55

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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.