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Finding the Fourth Proportional to 34,621.53, 51,978.42 and 23,414.52

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Solution

The fourth proportional to 34,621.53, 51,978.42 and 23,414.52 is: 35,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,621.53 : 51,978.42 = 23,414.52 : x
  2. Step 2: Convert to fraction form
    34,621.53/51,978.42 = 23,414.52/x
  3. Step 3: Cross multiply
    34,621.53x = 51,978.42 × 23,414.52
  4. Step 4: Simplify right side
    34,621.53x = 1,217,049,754.66
  5. Step 5: Solve for x
    x = 1,217,049,754.66/34,621.53
  6. Step 6: Final answer
    x = 35,152.97

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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.