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Finding the Fourth Proportional to 75,216.74, 103,799.92 and 41,224.50

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Solution

The fourth proportional to 75,216.74, 103,799.92 and 41,224.50 is: 56,890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,216.74 : 103,799.92 = 41,224.50 : x
  2. Step 2: Convert to fraction form
    75,216.74/103,799.92 = 41,224.50/x
  3. Step 3: Cross multiply
    75,216.74x = 103,799.92 × 41,224.50
  4. Step 4: Simplify right side
    75,216.74x = 4,279,099,802.04
  5. Step 5: Solve for x
    x = 4,279,099,802.04/75,216.74
  6. Step 6: Final answer
    x = 56,890.26

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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.