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Finding the Fourth Proportional to 49,810.32, 68,738.24 and 27,454.32

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Solution

The fourth proportional to 49,810.32, 68,738.24 and 27,454.32 is: 37,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,810.32 : 68,738.24 = 27,454.32 : x
  2. Step 2: Convert to fraction form
    49,810.32/68,738.24 = 27,454.32/x
  3. Step 3: Cross multiply
    49,810.32x = 68,738.24 × 27,454.32
  4. Step 4: Simplify right side
    49,810.32x = 1,887,161,705.83
  5. Step 5: Solve for x
    x = 1,887,161,705.83/49,810.32
  6. Step 6: Final answer
    x = 37,886.96

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