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Finding the Fourth Proportional to 110,168, 165,251.60 and 31,282.24

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Solution

The fourth proportional to 110,168, 165,251.60 and 31,282.24 is: 46,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,168 : 165,251.60 = 31,282.24 : x
  2. Step 2: Convert to fraction form
    110,168/165,251.60 = 31,282.24/x
  3. Step 3: Cross multiply
    110,168x = 165,251.60 × 31,282.24
  4. Step 4: Simplify right side
    110,168x = 5,169,440,211.58
  5. Step 5: Solve for x
    x = 5,169,440,211.58/110,168
  6. Step 6: Final answer
    x = 46,923.25

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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.