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Finding the Fourth Proportional to 51,606, 71,215.80 and 29,250

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Solution

The fourth proportional to 51,606, 71,215.80 and 29,250 is: 40,364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,606 : 71,215.80 = 29,250 : x
  2. Step 2: Convert to fraction form
    51,606/71,215.80 = 29,250/x
  3. Step 3: Cross multiply
    51,606x = 71,215.80 × 29,250
  4. Step 4: Simplify right side
    51,606x = 2,083,062,150
  5. Step 5: Solve for x
    x = 2,083,062,150/51,606
  6. Step 6: Final answer
    x = 40,364.73

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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.