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Finding the Fourth Proportional to 30,122.85, 41,569.78 and 16,694.33

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Solution

The fourth proportional to 30,122.85, 41,569.78 and 16,694.33 is: 23,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,122.85 : 41,569.78 = 16,694.33 : x
  2. Step 2: Convert to fraction form
    30,122.85/41,569.78 = 16,694.33/x
  3. Step 3: Cross multiply
    30,122.85x = 41,569.78 × 16,694.33
  4. Step 4: Simplify right side
    30,122.85x = 693,979,625.35
  5. Step 5: Solve for x
    x = 693,979,625.35/30,122.85
  6. Step 6: Final answer
    x = 23,038.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.