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Finding the Fourth Proportional to 30,122.84, 41,569.85 and 16,694.36

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Solution

The fourth proportional to 30,122.84, 41,569.85 and 16,694.36 is: 23,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,122.84 : 41,569.85 = 16,694.36 : x
  2. Step 2: Convert to fraction form
    30,122.84/41,569.85 = 16,694.36/x
  3. Step 3: Cross multiply
    30,122.84x = 41,569.85 × 16,694.36
  4. Step 4: Simplify right side
    30,122.84x = 693,981,749.72
  5. Step 5: Solve for x
    x = 693,981,749.72/30,122.84
  6. Step 6: Final answer
    x = 23,038.39

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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.