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Finding the Fourth Proportional to 110,620.16, 165,954.82 and 31,728.32

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Solution

The fourth proportional to 110,620.16, 165,954.82 and 31,728.32 is: 47,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,620.16 : 165,954.82 = 31,728.32 : x
  2. Step 2: Convert to fraction form
    110,620.16/165,954.82 = 31,728.32/x
  3. Step 3: Cross multiply
    110,620.16x = 165,954.82 × 31,728.32
  4. Step 4: Simplify right side
    110,620.16x = 5,265,467,634.50
  5. Step 5: Solve for x
    x = 5,265,467,634.50/110,620.16
  6. Step 6: Final answer
    x = 47,599.53

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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.