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Finding the Fourth Proportional to 27,057.94, 40,579.35 and 11,464.90

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Solution

The fourth proportional to 27,057.94, 40,579.35 and 11,464.90 is: 17,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,057.94 : 40,579.35 = 11,464.90 : x
  2. Step 2: Convert to fraction form
    27,057.94/40,579.35 = 11,464.90/x
  3. Step 3: Cross multiply
    27,057.94x = 40,579.35 × 11,464.90
  4. Step 4: Simplify right side
    27,057.94x = 465,238,189.82
  5. Step 5: Solve for x
    x = 465,238,189.82/27,057.94
  6. Step 6: Final answer
    x = 17,194.15

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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.