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Finding the Fourth Proportional to 29,082.68, 43,626.14 and 8,307.80

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Solution

The fourth proportional to 29,082.68, 43,626.14 and 8,307.80 is: 12,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,082.68 : 43,626.14 = 8,307.80 : x
  2. Step 2: Convert to fraction form
    29,082.68/43,626.14 = 8,307.80/x
  3. Step 3: Cross multiply
    29,082.68x = 43,626.14 × 8,307.80
  4. Step 4: Simplify right side
    29,082.68x = 362,437,245.89
  5. Step 5: Solve for x
    x = 362,437,245.89/29,082.68
  6. Step 6: Final answer
    x = 12,462.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.