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Finding the Fourth Proportional to 34,645.78, 51,974.13 and 11,266.75

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Solution

The fourth proportional to 34,645.78, 51,974.13 and 11,266.75 is: 16,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,645.78 : 51,974.13 = 11,266.75 : x
  2. Step 2: Convert to fraction form
    34,645.78/51,974.13 = 11,266.75/x
  3. Step 3: Cross multiply
    34,645.78x = 51,974.13 × 11,266.75
  4. Step 4: Simplify right side
    34,645.78x = 585,579,529.18
  5. Step 5: Solve for x
    x = 585,579,529.18/34,645.78
  6. Step 6: Final answer
    x = 16,901.90

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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.