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Finding the Fourth Proportional to 34,489.32, 51,721.02 and 12,296.70

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Solution

The fourth proportional to 34,489.32, 51,721.02 and 12,296.70 is: 18,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,489.32 : 51,721.02 = 12,296.70 : x
  2. Step 2: Convert to fraction form
    34,489.32/51,721.02 = 12,296.70/x
  3. Step 3: Cross multiply
    34,489.32x = 51,721.02 × 12,296.70
  4. Step 4: Simplify right side
    34,489.32x = 635,997,866.63
  5. Step 5: Solve for x
    x = 635,997,866.63/34,489.32
  6. Step 6: Final answer
    x = 18,440.43

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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.