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Finding the Fourth Proportional to 47,074.50, 64,905.21 and 36,971.46

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Solution

The fourth proportional to 47,074.50, 64,905.21 and 36,971.46 is: 50,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,074.50 : 64,905.21 = 36,971.46 : x
  2. Step 2: Convert to fraction form
    47,074.50/64,905.21 = 36,971.46/x
  3. Step 3: Cross multiply
    47,074.50x = 64,905.21 × 36,971.46
  4. Step 4: Simplify right side
    47,074.50x = 2,399,640,375.31
  5. Step 5: Solve for x
    x = 2,399,640,375.31/47,074.50
  6. Step 6: Final answer
    x = 50,975.38

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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.