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Finding the Fourth Proportional to 26,516, 39,774.96 and 8,048

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Solution

The fourth proportional to 26,516, 39,774.96 and 8,048 is: 12,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,516 : 39,774.96 = 8,048 : x
  2. Step 2: Convert to fraction form
    26,516/39,774.96 = 8,048/x
  3. Step 3: Cross multiply
    26,516x = 39,774.96 × 8,048
  4. Step 4: Simplify right side
    26,516x = 320,108,878.08
  5. Step 5: Solve for x
    x = 320,108,878.08/26,516
  6. Step 6: Final answer
    x = 12,072.29

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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.