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Finding the Fourth Proportional to 27,056, 37,337.28 and 16,443.66

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Solution

The fourth proportional to 27,056, 37,337.28 and 16,443.66 is: 22,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,056 : 37,337.28 = 16,443.66 : x
  2. Step 2: Convert to fraction form
    27,056/37,337.28 = 16,443.66/x
  3. Step 3: Cross multiply
    27,056x = 37,337.28 × 16,443.66
  4. Step 4: Simplify right side
    27,056x = 613,961,537.64
  5. Step 5: Solve for x
    x = 613,961,537.64/27,056
  6. Step 6: Final answer
    x = 22,692.25

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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.