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Finding the Fourth Proportional to 35,891.81, 53,846.24 and 11,267.81

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Solution

The fourth proportional to 35,891.81, 53,846.24 and 11,267.81 is: 16,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,891.81 : 53,846.24 = 11,267.81 : x
  2. Step 2: Convert to fraction form
    35,891.81/53,846.24 = 11,267.81/x
  3. Step 3: Cross multiply
    35,891.81x = 53,846.24 × 11,267.81
  4. Step 4: Simplify right side
    35,891.81x = 606,729,145.20
  5. Step 5: Solve for x
    x = 606,729,145.20/35,891.81
  6. Step 6: Final answer
    x = 16,904.39

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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.