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Finding the Fourth Proportional to 51,642.30, 71,255.31 and 33,763.56

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Solution

The fourth proportional to 51,642.30, 71,255.31 and 33,763.56 is: 46,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,642.30 : 71,255.31 = 33,763.56 : x
  2. Step 2: Convert to fraction form
    51,642.30/71,255.31 = 33,763.56/x
  3. Step 3: Cross multiply
    51,642.30x = 71,255.31 × 33,763.56
  4. Step 4: Simplify right side
    51,642.30x = 2,405,832,934.50
  5. Step 5: Solve for x
    x = 2,405,832,934.50/51,642.30
  6. Step 6: Final answer
    x = 46,586.48

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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.