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Finding the Fourth Proportional to 110,102.96, 165,154.14 and 31,217.88

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Solution

The fourth proportional to 110,102.96, 165,154.14 and 31,217.88 is: 46,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,102.96 : 165,154.14 = 31,217.88 : x
  2. Step 2: Convert to fraction form
    110,102.96/165,154.14 = 31,217.88/x
  3. Step 3: Cross multiply
    110,102.96x = 165,154.14 × 31,217.88
  4. Step 4: Simplify right side
    110,102.96x = 5,155,762,124.02
  5. Step 5: Solve for x
    x = 5,155,762,124.02/110,102.96
  6. Step 6: Final answer
    x = 46,826.73

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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.