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Finding the Fourth Proportional to 27,965.49, 38,593.35 and 16,031.07

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Solution

The fourth proportional to 27,965.49, 38,593.35 and 16,031.07 is: 22,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,965.49 : 38,593.35 = 16,031.07 : x
  2. Step 2: Convert to fraction form
    27,965.49/38,593.35 = 16,031.07/x
  3. Step 3: Cross multiply
    27,965.49x = 38,593.35 × 16,031.07
  4. Step 4: Simplify right side
    27,965.49x = 618,692,695.38
  5. Step 5: Solve for x
    x = 618,692,695.38/27,965.49
  6. Step 6: Final answer
    x = 22,123.43

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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.