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Finding the Fourth Proportional to 69,462.89, 104,146.90 and 33,420.32

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Solution

The fourth proportional to 69,462.89, 104,146.90 and 33,420.32 is: 50,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,462.89 : 104,146.90 = 33,420.32 : x
  2. Step 2: Convert to fraction form
    69,462.89/104,146.90 = 33,420.32/x
  3. Step 3: Cross multiply
    69,462.89x = 104,146.90 × 33,420.32
  4. Step 4: Simplify right side
    69,462.89x = 3,480,622,725.01
  5. Step 5: Solve for x
    x = 3,480,622,725.01/69,462.89
  6. Step 6: Final answer
    x = 50,107.66

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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.