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Finding the Fourth Proportional to 37,299, 51,472.62 and 22,395

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Solution

The fourth proportional to 37,299, 51,472.62 and 22,395 is: 30,905.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,299 : 51,472.62 = 22,395 : x
  2. Step 2: Convert to fraction form
    37,299/51,472.62 = 22,395/x
  3. Step 3: Cross multiply
    37,299x = 51,472.62 × 22,395
  4. Step 4: Simplify right side
    37,299x = 1,152,729,324.90
  5. Step 5: Solve for x
    x = 1,152,729,324.90/37,299
  6. Step 6: Final answer
    x = 30,905.10

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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.