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Finding the Fourth Proportional to 34,407.52, 51,611.24 and 22,718

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Solution

The fourth proportional to 34,407.52, 51,611.24 and 22,718 is: 34,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,407.52 : 51,611.24 = 22,718 : x
  2. Step 2: Convert to fraction form
    34,407.52/51,611.24 = 22,718/x
  3. Step 3: Cross multiply
    34,407.52x = 51,611.24 × 22,718
  4. Step 4: Simplify right side
    34,407.52x = 1,172,504,150.32
  5. Step 5: Solve for x
    x = 1,172,504,150.32/34,407.52
  6. Step 6: Final answer
    x = 34,076.97

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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.