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Finding the Fourth Proportional to 110,092.80, 165,106.80 and 31,213.92

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Solution

The fourth proportional to 110,092.80, 165,106.80 and 31,213.92 is: 46,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,092.80 : 165,106.80 = 31,213.92 : x
  2. Step 2: Convert to fraction form
    110,092.80/165,106.80 = 31,213.92/x
  3. Step 3: Cross multiply
    110,092.80x = 165,106.80 × 31,213.92
  4. Step 4: Simplify right side
    110,092.80x = 5,153,630,446.66
  5. Step 5: Solve for x
    x = 5,153,630,446.66/110,092.80
  6. Step 6: Final answer
    x = 46,811.69

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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.