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Finding the Fourth Proportional to 35,433.50, 48,894.17 and 20,322

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Solution

The fourth proportional to 35,433.50, 48,894.17 and 20,322 is: 28,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,433.50 : 48,894.17 = 20,322 : x
  2. Step 2: Convert to fraction form
    35,433.50/48,894.17 = 20,322/x
  3. Step 3: Cross multiply
    35,433.50x = 48,894.17 × 20,322
  4. Step 4: Simplify right side
    35,433.50x = 993,627,221.13
  5. Step 5: Solve for x
    x = 993,627,221.13/35,433.50
  6. Step 6: Final answer
    x = 28,042.03

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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.