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Finding the Fourth Proportional to 37,630.34, 51,918.05 and 23,491.38

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Solution

The fourth proportional to 37,630.34, 51,918.05 and 23,491.38 is: 32,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,630.34 : 51,918.05 = 23,491.38 : x
  2. Step 2: Convert to fraction form
    37,630.34/51,918.05 = 23,491.38/x
  3. Step 3: Cross multiply
    37,630.34x = 51,918.05 × 23,491.38
  4. Step 4: Simplify right side
    37,630.34x = 1,219,626,523.95
  5. Step 5: Solve for x
    x = 1,219,626,523.95/37,630.34
  6. Step 6: Final answer
    x = 32,410.73

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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.