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Finding the Fourth Proportional to 74,778.50, 103,201.62 and 41,244.50

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Solution

The fourth proportional to 74,778.50, 103,201.62 and 41,244.50 is: 56,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,778.50 : 103,201.62 = 41,244.50 : x
  2. Step 2: Convert to fraction form
    74,778.50/103,201.62 = 41,244.50/x
  3. Step 3: Cross multiply
    74,778.50x = 103,201.62 × 41,244.50
  4. Step 4: Simplify right side
    74,778.50x = 4,256,499,216.09
  5. Step 5: Solve for x
    x = 4,256,499,216.09/74,778.50
  6. Step 6: Final answer
    x = 56,921.43

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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.