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Finding the Fourth Proportional to 35,891, 53,836.98 and 11,267

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Solution

The fourth proportional to 35,891, 53,836.98 and 11,267 is: 16,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,891 : 53,836.98 = 11,267 : x
  2. Step 2: Convert to fraction form
    35,891/53,836.98 = 11,267/x
  3. Step 3: Cross multiply
    35,891x = 53,836.98 × 11,267
  4. Step 4: Simplify right side
    35,891x = 606,581,253.66
  5. Step 5: Solve for x
    x = 606,581,253.66/35,891
  6. Step 6: Final answer
    x = 16,900.65

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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.