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Finding the Fourth Proportional to 68,097.34, 93,896.85 and 47,947.78

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Solution

The fourth proportional to 68,097.34, 93,896.85 and 47,947.78 is: 66,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,097.34 : 93,896.85 = 47,947.78 : x
  2. Step 2: Convert to fraction form
    68,097.34/93,896.85 = 47,947.78/x
  3. Step 3: Cross multiply
    68,097.34x = 93,896.85 × 47,947.78
  4. Step 4: Simplify right side
    68,097.34x = 4,502,145,506.49
  5. Step 5: Solve for x
    x = 4,502,145,506.49/68,097.34
  6. Step 6: Final answer
    x = 66,113.38

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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.