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Finding the Fourth Proportional to 40,397, 55,748.10 and 22,733

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Solution

The fourth proportional to 40,397, 55,748.10 and 22,733 is: 31,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,397 : 55,748.10 = 22,733 : x
  2. Step 2: Convert to fraction form
    40,397/55,748.10 = 22,733/x
  3. Step 3: Cross multiply
    40,397x = 55,748.10 × 22,733
  4. Step 4: Simplify right side
    40,397x = 1,267,321,557.30
  5. Step 5: Solve for x
    x = 1,267,321,557.30/40,397
  6. Step 6: Final answer
    x = 31,371.68

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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.