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Finding the Fourth Proportional to 27,576, 38,043.09 and 21,583.62

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Solution

The fourth proportional to 27,576, 38,043.09 and 21,583.62 is: 29,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,576 : 38,043.09 = 21,583.62 : x
  2. Step 2: Convert to fraction form
    27,576/38,043.09 = 21,583.62/x
  3. Step 3: Cross multiply
    27,576x = 38,043.09 × 21,583.62
  4. Step 4: Simplify right side
    27,576x = 821,107,598.19
  5. Step 5: Solve for x
    x = 821,107,598.19/27,576
  6. Step 6: Final answer
    x = 29,776.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.