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Finding the Fourth Proportional to 51,561.62, 71,129.73 and 33,648.34

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Solution

The fourth proportional to 51,561.62, 71,129.73 and 33,648.34 is: 46,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,561.62 : 71,129.73 = 33,648.34 : x
  2. Step 2: Convert to fraction form
    51,561.62/71,129.73 = 33,648.34/x
  3. Step 3: Cross multiply
    51,561.62x = 71,129.73 × 33,648.34
  4. Step 4: Simplify right side
    51,561.62x = 2,393,397,339.15
  5. Step 5: Solve for x
    x = 2,393,397,339.15/51,561.62
  6. Step 6: Final answer
    x = 46,418.20

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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.