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Finding the Fourth Proportional to 110,061.76, 165,009.84 and 53,884.48

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Solution

The fourth proportional to 110,061.76, 165,009.84 and 53,884.48 is: 80,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,061.76 : 165,009.84 = 53,884.48 : x
  2. Step 2: Convert to fraction form
    110,061.76/165,009.84 = 53,884.48/x
  3. Step 3: Cross multiply
    110,061.76x = 165,009.84 × 53,884.48
  4. Step 4: Simplify right side
    110,061.76x = 8,891,469,423.28
  5. Step 5: Solve for x
    x = 8,891,469,423.28/110,061.76
  6. Step 6: Final answer
    x = 80,786.18

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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.