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Finding the Fourth Proportional to 74,638.78, 102,996.85 and 41,104.78

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Solution

The fourth proportional to 74,638.78, 102,996.85 and 41,104.78 is: 56,722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,638.78 : 102,996.85 = 41,104.78 : x
  2. Step 2: Convert to fraction form
    74,638.78/102,996.85 = 41,104.78/x
  3. Step 3: Cross multiply
    74,638.78x = 102,996.85 × 41,104.78
  4. Step 4: Simplify right side
    74,638.78x = 4,233,662,139.43
  5. Step 5: Solve for x
    x = 4,233,662,139.43/74,638.78
  6. Step 6: Final answer
    x = 56,722.02

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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.