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Finding the Fourth Proportional to 69,820.92, 104,791.74 and 36,564.24

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Solution

The fourth proportional to 69,820.92, 104,791.74 and 36,564.24 is: 54,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,820.92 : 104,791.74 = 36,564.24 : x
  2. Step 2: Convert to fraction form
    69,820.92/104,791.74 = 36,564.24/x
  3. Step 3: Cross multiply
    69,820.92x = 104,791.74 × 36,564.24
  4. Step 4: Simplify right side
    69,820.92x = 3,831,630,331.38
  5. Step 5: Solve for x
    x = 3,831,630,331.38/69,820.92
  6. Step 6: Final answer
    x = 54,877.97

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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.