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Finding the Fourth Proportional to 29,227.56, 43,852.86 and 10,761

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Solution

The fourth proportional to 29,227.56, 43,852.86 and 10,761 is: 16,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,227.56 : 43,852.86 = 10,761 : x
  2. Step 2: Convert to fraction form
    29,227.56/43,852.86 = 10,761/x
  3. Step 3: Cross multiply
    29,227.56x = 43,852.86 × 10,761
  4. Step 4: Simplify right side
    29,227.56x = 471,900,626.46
  5. Step 5: Solve for x
    x = 471,900,626.46/29,227.56
  6. Step 6: Final answer
    x = 16,145.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.