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Finding the Fourth Proportional to 75,256, 103,856.88 and 41,722

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Solution

The fourth proportional to 75,256, 103,856.88 and 41,722 is: 57,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,256 : 103,856.88 = 41,722 : x
  2. Step 2: Convert to fraction form
    75,256/103,856.88 = 41,722/x
  3. Step 3: Cross multiply
    75,256x = 103,856.88 × 41,722
  4. Step 4: Simplify right side
    75,256x = 4,333,116,747.36
  5. Step 5: Solve for x
    x = 4,333,116,747.36/75,256
  6. Step 6: Final answer
    x = 57,578.36

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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.