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Finding the Fourth Proportional to 110,564, 165,871.92 and 36,692

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Solution

The fourth proportional to 110,564, 165,871.92 and 36,692 is: 55,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,564 : 165,871.92 = 36,692 : x
  2. Step 2: Convert to fraction form
    110,564/165,871.92 = 36,692/x
  3. Step 3: Cross multiply
    110,564x = 165,871.92 × 36,692
  4. Step 4: Simplify right side
    110,564x = 6,086,172,488.64
  5. Step 5: Solve for x
    x = 6,086,172,488.64/110,564
  6. Step 6: Final answer
    x = 55,046.60

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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.