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Finding the Fourth Proportional to 110,380.83, 165,599.19 and 31,495.34

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Solution

The fourth proportional to 110,380.83, 165,599.19 and 31,495.34 is: 47,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,380.83 : 165,599.19 = 31,495.34 : x
  2. Step 2: Convert to fraction form
    110,380.83/165,599.19 = 31,495.34/x
  3. Step 3: Cross multiply
    110,380.83x = 165,599.19 × 31,495.34
  4. Step 4: Simplify right side
    110,380.83x = 5,215,601,964.78
  5. Step 5: Solve for x
    x = 5,215,601,964.78/110,380.83
  6. Step 6: Final answer
    x = 47,250.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.