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Finding the Fourth Proportional to 29,489.40, 44,234.10 and 9,768.60

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Solution

The fourth proportional to 29,489.40, 44,234.10 and 9,768.60 is: 14,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,489.40 : 44,234.10 = 9,768.60 : x
  2. Step 2: Convert to fraction form
    29,489.40/44,234.10 = 9,768.60/x
  3. Step 3: Cross multiply
    29,489.40x = 44,234.10 × 9,768.60
  4. Step 4: Simplify right side
    29,489.40x = 432,105,229.26
  5. Step 5: Solve for x
    x = 432,105,229.26/29,489.40
  6. Step 6: Final answer
    x = 14,652.90

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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.