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Finding the Fourth Proportional to 74,608.52, 102,959.78 and 41,074.52

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Solution

The fourth proportional to 74,608.52, 102,959.78 and 41,074.52 is: 56,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,608.52 : 102,959.78 = 41,074.52 : x
  2. Step 2: Convert to fraction form
    74,608.52/102,959.78 = 41,074.52/x
  3. Step 3: Cross multiply
    74,608.52x = 102,959.78 × 41,074.52
  4. Step 4: Simplify right side
    74,608.52x = 4,229,023,542.81
  5. Step 5: Solve for x
    x = 4,229,023,542.81/74,608.52
  6. Step 6: Final answer
    x = 56,682.85

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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.