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Finding the Fourth Proportional to 29,930.82, 41,304.82 and 16,502.60

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Solution

The fourth proportional to 29,930.82, 41,304.82 and 16,502.60 is: 22,773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,930.82 : 41,304.82 = 16,502.60 : x
  2. Step 2: Convert to fraction form
    29,930.82/41,304.82 = 16,502.60/x
  3. Step 3: Cross multiply
    29,930.82x = 41,304.82 × 16,502.60
  4. Step 4: Simplify right side
    29,930.82x = 681,636,922.53
  5. Step 5: Solve for x
    x = 681,636,922.53/29,930.82
  6. Step 6: Final answer
    x = 22,773.75

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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.