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Finding the Fourth Proportional to 29,921.81, 41,292.38 and 16,493.58

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Solution

The fourth proportional to 29,921.81, 41,292.38 and 16,493.58 is: 22,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,921.81 : 41,292.38 = 16,493.58 : x
  2. Step 2: Convert to fraction form
    29,921.81/41,292.38 = 16,493.58/x
  3. Step 3: Cross multiply
    29,921.81x = 41,292.38 × 16,493.58
  4. Step 4: Simplify right side
    29,921.81x = 681,059,090.45
  5. Step 5: Solve for x
    x = 681,059,090.45/29,921.81
  6. Step 6: Final answer
    x = 22,761.30

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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.