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Finding the Fourth Proportional to 35,972.98, 49,642.98 and 20,058.46

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Solution

The fourth proportional to 35,972.98, 49,642.98 and 20,058.46 is: 27,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,972.98 : 49,642.98 = 20,058.46 : x
  2. Step 2: Convert to fraction form
    35,972.98/49,642.98 = 20,058.46/x
  3. Step 3: Cross multiply
    35,972.98x = 49,642.98 × 20,058.46
  4. Step 4: Simplify right side
    35,972.98x = 995,761,728.61
  5. Step 5: Solve for x
    x = 995,761,728.61/35,972.98
  6. Step 6: Final answer
    x = 27,680.82

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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.