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Finding the Fourth Proportional to 29,822.70, 44,734.25 and 8,763.10

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Solution

The fourth proportional to 29,822.70, 44,734.25 and 8,763.10 is: 13,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,822.70 : 44,734.25 = 8,763.10 : x
  2. Step 2: Convert to fraction form
    29,822.70/44,734.25 = 8,763.10/x
  3. Step 3: Cross multiply
    29,822.70x = 44,734.25 × 8,763.10
  4. Step 4: Simplify right side
    29,822.70x = 392,010,706.18
  5. Step 5: Solve for x
    x = 392,010,706.18/29,822.70
  6. Step 6: Final answer
    x = 13,144.71

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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.