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Finding the Fourth Proportional to 81,884.88, 113,007.78 and 46,072.80

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Solution

The fourth proportional to 81,884.88, 113,007.78 and 46,072.80 is: 63,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,884.88 : 113,007.78 = 46,072.80 : x
  2. Step 2: Convert to fraction form
    81,884.88/113,007.78 = 46,072.80/x
  3. Step 3: Cross multiply
    81,884.88x = 113,007.78 × 46,072.80
  4. Step 4: Simplify right side
    81,884.88x = 5,206,584,846.38
  5. Step 5: Solve for x
    x = 5,206,584,846.38/81,884.88
  6. Step 6: Final answer
    x = 63,584.20

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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.