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Finding the Fourth Proportional to 30,280.49, 41,788.01 and 16,852.49

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Solution

The fourth proportional to 30,280.49, 41,788.01 and 16,852.49 is: 23,256.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,280.49 : 41,788.01 = 16,852.49 : x
  2. Step 2: Convert to fraction form
    30,280.49/41,788.01 = 16,852.49/x
  3. Step 3: Cross multiply
    30,280.49x = 41,788.01 × 16,852.49
  4. Step 4: Simplify right side
    30,280.49x = 704,231,936.38
  5. Step 5: Solve for x
    x = 704,231,936.38/30,280.49
  6. Step 6: Final answer
    x = 23,256.95

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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.