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Finding the Fourth Proportional to 71,694.11, 98,947.78 and 41,497.11

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Solution

The fourth proportional to 71,694.11, 98,947.78 and 41,497.11 is: 57,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,694.11 : 98,947.78 = 41,497.11 : x
  2. Step 2: Convert to fraction form
    71,694.11/98,947.78 = 41,497.11/x
  3. Step 3: Cross multiply
    71,694.11x = 98,947.78 × 41,497.11
  4. Step 4: Simplify right side
    71,694.11x = 4,106,046,807.17
  5. Step 5: Solve for x
    x = 4,106,046,807.17/71,694.11
  6. Step 6: Final answer
    x = 57,271.74

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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.