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Finding the Fourth Proportional to 74,843.46, 103,284.09 and 41,309.46

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Solution

The fourth proportional to 74,843.46, 103,284.09 and 41,309.46 is: 57,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,843.46 : 103,284.09 = 41,309.46 : x
  2. Step 2: Convert to fraction form
    74,843.46/103,284.09 = 41,309.46/x
  3. Step 3: Cross multiply
    74,843.46x = 103,284.09 × 41,309.46
  4. Step 4: Simplify right side
    74,843.46x = 4,266,609,984.49
  5. Step 5: Solve for x
    x = 4,266,609,984.49/74,843.46
  6. Step 6: Final answer
    x = 57,007.12

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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.