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Finding the Fourth Proportional to 110,642.60, 165,963.90 and 36,770.60

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Solution

The fourth proportional to 110,642.60, 165,963.90 and 36,770.60 is: 55,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,642.60 : 165,963.90 = 36,770.60 : x
  2. Step 2: Convert to fraction form
    110,642.60/165,963.90 = 36,770.60/x
  3. Step 3: Cross multiply
    110,642.60x = 165,963.90 × 36,770.60
  4. Step 4: Simplify right side
    110,642.60x = 6,102,592,181.34
  5. Step 5: Solve for x
    x = 6,102,592,181.34/110,642.60
  6. Step 6: Final answer
    x = 55,155.90

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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.