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Finding the Fourth Proportional to 29,307.67, 43,964.10 and 8,247.90

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Solution

The fourth proportional to 29,307.67, 43,964.10 and 8,247.90 is: 12,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,307.67 : 43,964.10 = 8,247.90 : x
  2. Step 2: Convert to fraction form
    29,307.67/43,964.10 = 8,247.90/x
  3. Step 3: Cross multiply
    29,307.67x = 43,964.10 × 8,247.90
  4. Step 4: Simplify right side
    29,307.67x = 362,611,500.39
  5. Step 5: Solve for x
    x = 362,611,500.39/29,307.67
  6. Step 6: Final answer
    x = 12,372.58

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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.