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Finding the Fourth Proportional to 110,097.96, 165,146.93 and 31,212.87

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Solution

The fourth proportional to 110,097.96, 165,146.93 and 31,212.87 is: 46,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,097.96 : 165,146.93 = 31,212.87 : x
  2. Step 2: Convert to fraction form
    110,097.96/165,146.93 = 31,212.87/x
  3. Step 3: Cross multiply
    110,097.96x = 165,146.93 × 31,212.87
  4. Step 4: Simplify right side
    110,097.96x = 5,154,709,735.02
  5. Step 5: Solve for x
    x = 5,154,709,735.02/110,097.96
  6. Step 6: Final answer
    x = 46,819.30

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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.