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Finding the Fourth Proportional to 110,112.64, 165,179.86 and 35,213.96

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Solution

The fourth proportional to 110,112.64, 165,179.86 and 35,213.96 is: 52,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,112.64 : 165,179.86 = 35,213.96 : x
  2. Step 2: Convert to fraction form
    110,112.64/165,179.86 = 35,213.96/x
  3. Step 3: Cross multiply
    110,112.64x = 165,179.86 × 35,213.96
  4. Step 4: Simplify right side
    110,112.64x = 5,816,637,307.76
  5. Step 5: Solve for x
    x = 5,816,637,307.76/110,112.64
  6. Step 6: Final answer
    x = 52,824.43

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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.