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Finding the Fourth Proportional to 110,584.38, 165,876.56 and 36,712.38

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Solution

The fourth proportional to 110,584.38, 165,876.56 and 36,712.38 is: 55,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,584.38 : 165,876.56 = 36,712.38 : x
  2. Step 2: Convert to fraction form
    110,584.38/165,876.56 = 36,712.38/x
  3. Step 3: Cross multiply
    110,584.38x = 165,876.56 × 36,712.38
  4. Step 4: Simplify right side
    110,584.38x = 6,089,722,566.21
  5. Step 5: Solve for x
    x = 6,089,722,566.21/110,584.38
  6. Step 6: Final answer
    x = 55,068.56

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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.