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Finding the Fourth Proportional to 110,871.60, 166,291.20 and 31,977.60

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Solution

The fourth proportional to 110,871.60, 166,291.20 and 31,977.60 is: 47,961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,871.60 : 166,291.20 = 31,977.60 : x
  2. Step 2: Convert to fraction form
    110,871.60/166,291.20 = 31,977.60/x
  3. Step 3: Cross multiply
    110,871.60x = 166,291.20 × 31,977.60
  4. Step 4: Simplify right side
    110,871.60x = 5,317,593,477.12
  5. Step 5: Solve for x
    x = 5,317,593,477.12/110,871.60
  6. Step 6: Final answer
    x = 47,961.73

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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.