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Finding the Fourth Proportional to 27,952.50, 41,887.96 and 12,964.20

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Solution

The fourth proportional to 27,952.50, 41,887.96 and 12,964.20 is: 19,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.50 : 41,887.96 = 12,964.20 : x
  2. Step 2: Convert to fraction form
    27,952.50/41,887.96 = 12,964.20/x
  3. Step 3: Cross multiply
    27,952.50x = 41,887.96 × 12,964.20
  4. Step 4: Simplify right side
    27,952.50x = 543,043,891.03
  5. Step 5: Solve for x
    x = 543,043,891.03/27,952.50
  6. Step 6: Final answer
    x = 19,427.38

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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.