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Finding the Fourth Proportional to 110,097.97, 165,146.65 and 31,212.88

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Solution

The fourth proportional to 110,097.97, 165,146.65 and 31,212.88 is: 46,819.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,097.97 : 165,146.65 = 31,212.88 : x
  2. Step 2: Convert to fraction form
    110,097.97/165,146.65 = 31,212.88/x
  3. Step 3: Cross multiply
    110,097.97x = 165,146.65 × 31,212.88
  4. Step 4: Simplify right side
    110,097.97x = 5,154,702,077.95
  5. Step 5: Solve for x
    x = 5,154,702,077.95/110,097.97
  6. Step 6: Final answer
    x = 46,819.23

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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.