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Finding the Fourth Proportional to 68,096.84, 93,896.16 and 47,947.28

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Solution

The fourth proportional to 68,096.84, 93,896.16 and 47,947.28 is: 66,112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,096.84 : 93,896.16 = 47,947.28 : x
  2. Step 2: Convert to fraction form
    68,096.84/93,896.16 = 47,947.28/x
  3. Step 3: Cross multiply
    68,096.84x = 93,896.16 × 47,947.28
  4. Step 4: Simplify right side
    68,096.84x = 4,502,065,474.44
  5. Step 5: Solve for x
    x = 4,502,065,474.44/68,096.84
  6. Step 6: Final answer
    x = 66,112.69

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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.