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Finding the Fourth Proportional to 110,659.80, 165,968.10 and 36,787.80

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Solution

The fourth proportional to 110,659.80, 165,968.10 and 36,787.80 is: 55,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,659.80 : 165,968.10 = 36,787.80 : x
  2. Step 2: Convert to fraction form
    110,659.80/165,968.10 = 36,787.80/x
  3. Step 3: Cross multiply
    110,659.80x = 165,968.10 × 36,787.80
  4. Step 4: Simplify right side
    110,659.80x = 6,105,601,269.18
  5. Step 5: Solve for x
    x = 6,105,601,269.18/110,659.80
  6. Step 6: Final answer
    x = 55,174.52

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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.