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Finding the Fourth Proportional to 30,253.54, 41,747.48 and 16,824

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Solution

The fourth proportional to 30,253.54, 41,747.48 and 16,824 is: 23,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,253.54 : 41,747.48 = 16,824 : x
  2. Step 2: Convert to fraction form
    30,253.54/41,747.48 = 16,824/x
  3. Step 3: Cross multiply
    30,253.54x = 41,747.48 × 16,824
  4. Step 4: Simplify right side
    30,253.54x = 702,359,603.52
  5. Step 5: Solve for x
    x = 702,359,603.52/30,253.54
  6. Step 6: Final answer
    x = 23,215.78

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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.