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Finding the Fourth Proportional to 34,648.95, 51,978.87 and 11,269.92

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Solution

The fourth proportional to 34,648.95, 51,978.87 and 11,269.92 is: 16,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,648.95 : 51,978.87 = 11,269.92 : x
  2. Step 2: Convert to fraction form
    34,648.95/51,978.87 = 11,269.92/x
  3. Step 3: Cross multiply
    34,648.95x = 51,978.87 × 11,269.92
  4. Step 4: Simplify right side
    34,648.95x = 585,797,706.59
  5. Step 5: Solve for x
    x = 585,797,706.59/34,648.95
  6. Step 6: Final answer
    x = 16,906.65

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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.