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Finding the Fourth Proportional to 69,045.38, 103,493.46 and 33,431.46

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Solution

The fourth proportional to 69,045.38, 103,493.46 and 33,431.46 is: 50,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,045.38 : 103,493.46 = 33,431.46 : x
  2. Step 2: Convert to fraction form
    69,045.38/103,493.46 = 33,431.46/x
  3. Step 3: Cross multiply
    69,045.38x = 103,493.46 × 33,431.46
  4. Step 4: Simplify right side
    69,045.38x = 3,459,937,468.25
  5. Step 5: Solve for x
    x = 3,459,937,468.25/69,045.38
  6. Step 6: Final answer
    x = 50,111.06

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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.