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Finding the Fourth Proportional to 49,111.32, 67,774.38 and 26,755.32

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Solution

The fourth proportional to 49,111.32, 67,774.38 and 26,755.32 is: 36,922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,111.32 : 67,774.38 = 26,755.32 : x
  2. Step 2: Convert to fraction form
    49,111.32/67,774.38 = 26,755.32/x
  3. Step 3: Cross multiply
    49,111.32x = 67,774.38 × 26,755.32
  4. Step 4: Simplify right side
    49,111.32x = 1,813,325,224.70
  5. Step 5: Solve for x
    x = 1,813,325,224.70/49,111.32
  6. Step 6: Final answer
    x = 36,922.75

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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.