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Finding the Fourth Proportional to 29,566.22, 44,351.17 and 9,846.54

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Solution

The fourth proportional to 29,566.22, 44,351.17 and 9,846.54 is: 14,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,566.22 : 44,351.17 = 9,846.54 : x
  2. Step 2: Convert to fraction form
    29,566.22/44,351.17 = 9,846.54/x
  3. Step 3: Cross multiply
    29,566.22x = 44,351.17 × 9,846.54
  4. Step 4: Simplify right side
    29,566.22x = 436,705,569.45
  5. Step 5: Solve for x
    x = 436,705,569.45/29,566.22
  6. Step 6: Final answer
    x = 14,770.42

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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.