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Finding the Fourth Proportional to 29,431.80, 44,147.70 and 22,433.40

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Solution

The fourth proportional to 29,431.80, 44,147.70 and 22,433.40 is: 33,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,431.80 : 44,147.70 = 22,433.40 : x
  2. Step 2: Convert to fraction form
    29,431.80/44,147.70 = 22,433.40/x
  3. Step 3: Cross multiply
    29,431.80x = 44,147.70 × 22,433.40
  4. Step 4: Simplify right side
    29,431.80x = 990,383,013.18
  5. Step 5: Solve for x
    x = 990,383,013.18/29,431.80
  6. Step 6: Final answer
    x = 33,650.10

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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.