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Finding the Fourth Proportional to 29,082.99, 43,632.05 and 8,306.49

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Solution

The fourth proportional to 29,082.99, 43,632.05 and 8,306.49 is: 12,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,082.99 : 43,632.05 = 8,306.49 : x
  2. Step 2: Convert to fraction form
    29,082.99/43,632.05 = 8,306.49/x
  3. Step 3: Cross multiply
    29,082.99x = 43,632.05 × 8,306.49
  4. Step 4: Simplify right side
    29,082.99x = 362,429,145.47
  5. Step 5: Solve for x
    x = 362,429,145.47/29,082.99
  6. Step 6: Final answer
    x = 12,461.89

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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.