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Finding the Fourth Proportional to 27,576, 38,052 and 15,635.52

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Solution

The fourth proportional to 27,576, 38,052 and 15,635.52 is: 21,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,576 : 38,052 = 15,635.52 : x
  2. Step 2: Convert to fraction form
    27,576/38,052 = 15,635.52/x
  3. Step 3: Cross multiply
    27,576x = 38,052 × 15,635.52
  4. Step 4: Simplify right side
    27,576x = 594,962,807.04
  5. Step 5: Solve for x
    x = 594,962,807.04/27,576
  6. Step 6: Final answer
    x = 21,575.38

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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.