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Finding the Fourth Proportional to 110,520.34, 165,812.85 and 35,638.97

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Solution

The fourth proportional to 110,520.34, 165,812.85 and 35,638.97 is: 53,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,520.34 : 165,812.85 = 35,638.97 : x
  2. Step 2: Convert to fraction form
    110,520.34/165,812.85 = 35,638.97/x
  3. Step 3: Cross multiply
    110,520.34x = 165,812.85 × 35,638.97
  4. Step 4: Simplify right side
    110,520.34x = 5,909,399,186.76
  5. Step 5: Solve for x
    x = 5,909,399,186.76/110,520.34
  6. Step 6: Final answer
    x = 53,468.88

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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.