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Finding the Fourth Proportional to 75,356.22, 103,992.90 and 41,367.90

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Solution

The fourth proportional to 75,356.22, 103,992.90 and 41,367.90 is: 57,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,356.22 : 103,992.90 = 41,367.90 : x
  2. Step 2: Convert to fraction form
    75,356.22/103,992.90 = 41,367.90/x
  3. Step 3: Cross multiply
    75,356.22x = 103,992.90 × 41,367.90
  4. Step 4: Simplify right side
    75,356.22x = 4,301,967,887.91
  5. Step 5: Solve for x
    x = 4,301,967,887.91/75,356.22
  6. Step 6: Final answer
    x = 57,088.42

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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.