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Finding the Fourth Proportional to 30,324.40, 41,850.75 and 16,897.84

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Solution

The fourth proportional to 30,324.40, 41,850.75 and 16,897.84 is: 23,320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,324.40 : 41,850.75 = 16,897.84 : x
  2. Step 2: Convert to fraction form
    30,324.40/41,850.75 = 16,897.84/x
  3. Step 3: Cross multiply
    30,324.40x = 41,850.75 × 16,897.84
  4. Step 4: Simplify right side
    30,324.40x = 707,187,277.38
  5. Step 5: Solve for x
    x = 707,187,277.38/30,324.40
  6. Step 6: Final answer
    x = 23,320.73

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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.