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Finding the Fourth Proportional to 27,503, 37,963.98 and 16,325

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Solution

The fourth proportional to 27,503, 37,963.98 and 16,325 is: 22,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,503 : 37,963.98 = 16,325 : x
  2. Step 2: Convert to fraction form
    27,503/37,963.98 = 16,325/x
  3. Step 3: Cross multiply
    27,503x = 37,963.98 × 16,325
  4. Step 4: Simplify right side
    27,503x = 619,761,973.50
  5. Step 5: Solve for x
    x = 619,761,973.50/27,503
  6. Step 6: Final answer
    x = 22,534.34

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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.