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Finding the Fourth Proportional to 47,131.86, 65,042.19 and 25,912.50

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Solution

The fourth proportional to 47,131.86, 65,042.19 and 25,912.50 is: 35,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,131.86 : 65,042.19 = 25,912.50 : x
  2. Step 2: Convert to fraction form
    47,131.86/65,042.19 = 25,912.50/x
  3. Step 3: Cross multiply
    47,131.86x = 65,042.19 × 25,912.50
  4. Step 4: Simplify right side
    47,131.86x = 1,685,405,748.38
  5. Step 5: Solve for x
    x = 1,685,405,748.38/47,131.86
  6. Step 6: Final answer
    x = 35,759.37

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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.