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Finding the Fourth Proportional to 31,649.73, 43,690.95 and 21,453.39

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Solution

The fourth proportional to 31,649.73, 43,690.95 and 21,453.39 is: 29,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.73 : 43,690.95 = 21,453.39 : x
  2. Step 2: Convert to fraction form
    31,649.73/43,690.95 = 21,453.39/x
  3. Step 3: Cross multiply
    31,649.73x = 43,690.95 × 21,453.39
  4. Step 4: Simplify right side
    31,649.73x = 937,318,989.82
  5. Step 5: Solve for x
    x = 937,318,989.82/31,649.73
  6. Step 6: Final answer
    x = 29,615.39

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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.