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Finding the Fourth Proportional to 61,738.38, 85,198.83 and 33,444.30

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Solution

The fourth proportional to 61,738.38, 85,198.83 and 33,444.30 is: 46,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,738.38 : 85,198.83 = 33,444.30 : x
  2. Step 2: Convert to fraction form
    61,738.38/85,198.83 = 33,444.30/x
  3. Step 3: Cross multiply
    61,738.38x = 85,198.83 × 33,444.30
  4. Step 4: Simplify right side
    61,738.38x = 2,849,415,230.17
  5. Step 5: Solve for x
    x = 2,849,415,230.17/61,738.38
  6. Step 6: Final answer
    x = 46,153.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.