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Finding the Fourth Proportional to 27,101.30, 40,634.87 and 13,064.87

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Solution

The fourth proportional to 27,101.30, 40,634.87 and 13,064.87 is: 19,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,101.30 : 40,634.87 = 13,064.87 : x
  2. Step 2: Convert to fraction form
    27,101.30/40,634.87 = 13,064.87/x
  3. Step 3: Cross multiply
    27,101.30x = 40,634.87 × 13,064.87
  4. Step 4: Simplify right side
    27,101.30x = 530,889,025.52
  5. Step 5: Solve for x
    x = 530,889,025.52/27,101.30
  6. Step 6: Final answer
    x = 19,589.06

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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.