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Finding the Fourth Proportional to 24,709.24, 37,045 and 8,059.24

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Solution

The fourth proportional to 24,709.24, 37,045 and 8,059.24 is: 12,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.24 : 37,045 = 8,059.24 : x
  2. Step 2: Convert to fraction form
    24,709.24/37,045 = 8,059.24/x
  3. Step 3: Cross multiply
    24,709.24x = 37,045 × 8,059.24
  4. Step 4: Simplify right side
    24,709.24x = 298,554,545.80
  5. Step 5: Solve for x
    x = 298,554,545.80/24,709.24
  6. Step 6: Final answer
    x = 12,082.71

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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.