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Finding the Fourth Proportional to 110,110.80, 165,133.80 and 31,231.92

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Solution

The fourth proportional to 110,110.80, 165,133.80 and 31,231.92 is: 46,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,110.80 : 165,133.80 = 31,231.92 : x
  2. Step 2: Convert to fraction form
    110,110.80/165,133.80 = 31,231.92/x
  3. Step 3: Cross multiply
    110,110.80x = 165,133.80 × 31,231.92
  4. Step 4: Simplify right side
    110,110.80x = 5,157,445,630.90
  5. Step 5: Solve for x
    x = 5,157,445,630.90/110,110.80
  6. Step 6: Final answer
    x = 46,838.69

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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.