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Finding the Fourth Proportional to 74,645.76, 103,011.84 and 41,112

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Solution

The fourth proportional to 74,645.76, 103,011.84 and 41,112 is: 56,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,645.76 : 103,011.84 = 41,112 : x
  2. Step 2: Convert to fraction form
    74,645.76/103,011.84 = 41,112/x
  3. Step 3: Cross multiply
    74,645.76x = 103,011.84 × 41,112
  4. Step 4: Simplify right side
    74,645.76x = 4,235,022,766.08
  5. Step 5: Solve for x
    x = 4,235,022,766.08/74,645.76
  6. Step 6: Final answer
    x = 56,734.94

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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.