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Finding the Fourth Proportional to 58,327, 80,491.26 and 31,831

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Solution

The fourth proportional to 58,327, 80,491.26 and 31,831 is: 43,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,327 : 80,491.26 = 31,831 : x
  2. Step 2: Convert to fraction form
    58,327/80,491.26 = 31,831/x
  3. Step 3: Cross multiply
    58,327x = 80,491.26 × 31,831
  4. Step 4: Simplify right side
    58,327x = 2,562,117,297.06
  5. Step 5: Solve for x
    x = 2,562,117,297.06/58,327
  6. Step 6: Final answer
    x = 43,926.78

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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.