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Finding the Fourth Proportional to 34,821.17, 52,233.98 and 9,863.20

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Solution

The fourth proportional to 34,821.17, 52,233.98 and 9,863.20 is: 14,795.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,821.17 : 52,233.98 = 9,863.20 : x
  2. Step 2: Convert to fraction form
    34,821.17/52,233.98 = 9,863.20/x
  3. Step 3: Cross multiply
    34,821.17x = 52,233.98 × 9,863.20
  4. Step 4: Simplify right side
    34,821.17x = 515,194,191.54
  5. Step 5: Solve for x
    x = 515,194,191.54/34,821.17
  6. Step 6: Final answer
    x = 14,795.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.