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Finding the Fourth Proportional to 110,682.72, 165,955.68 and 47,543.76

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Solution

The fourth proportional to 110,682.72, 165,955.68 and 47,543.76 is: 71,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,682.72 : 165,955.68 = 47,543.76 : x
  2. Step 2: Convert to fraction form
    110,682.72/165,955.68 = 47,543.76/x
  3. Step 3: Cross multiply
    110,682.72x = 165,955.68 × 47,543.76
  4. Step 4: Simplify right side
    110,682.72x = 7,890,157,020.56
  5. Step 5: Solve for x
    x = 7,890,157,020.56/110,682.72
  6. Step 6: Final answer
    x = 71,286.26

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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.