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Finding the Fourth Proportional to 37,395, 51,611.72 and 22,296.38

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Solution

The fourth proportional to 37,395, 51,611.72 and 22,296.38 is: 30,772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,395 : 51,611.72 = 22,296.38 : x
  2. Step 2: Convert to fraction form
    37,395/51,611.72 = 22,296.38/x
  3. Step 3: Cross multiply
    37,395x = 51,611.72 × 22,296.38
  4. Step 4: Simplify right side
    37,395x = 1,150,754,152.03
  5. Step 5: Solve for x
    x = 1,150,754,152.03/37,395
  6. Step 6: Final answer
    x = 30,772.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.