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Finding the Fourth Proportional to 34,071, 51,063.24 and 15,330.96

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Solution

The fourth proportional to 34,071, 51,063.24 and 15,330.96 is: 22,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,071 : 51,063.24 = 15,330.96 : x
  2. Step 2: Convert to fraction form
    34,071/51,063.24 = 15,330.96/x
  3. Step 3: Cross multiply
    34,071x = 51,063.24 × 15,330.96
  4. Step 4: Simplify right side
    34,071x = 782,848,489.91
  5. Step 5: Solve for x
    x = 782,848,489.91/34,071
  6. Step 6: Final answer
    x = 22,976.97

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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.