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Finding the Fourth Proportional to 75,328, 103,952.56 and 41,336.68

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Solution

The fourth proportional to 75,328, 103,952.56 and 41,336.68 is: 57,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,328 : 103,952.56 = 41,336.68 : x
  2. Step 2: Convert to fraction form
    75,328/103,952.56 = 41,336.68/x
  3. Step 3: Cross multiply
    75,328x = 103,952.56 × 41,336.68
  4. Step 4: Simplify right side
    75,328x = 4,297,053,707.90
  5. Step 5: Solve for x
    x = 4,297,053,707.90/75,328
  6. Step 6: Final answer
    x = 57,044.57

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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.