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Finding the Fourth Proportional to 35,972.17, 49,642.22 and 19,841.34

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Solution

The fourth proportional to 35,972.17, 49,642.22 and 19,841.34 is: 27,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,972.17 : 49,642.22 = 19,841.34 : x
  2. Step 2: Convert to fraction form
    35,972.17/49,642.22 = 19,841.34/x
  3. Step 3: Cross multiply
    35,972.17x = 49,642.22 × 19,841.34
  4. Step 4: Simplify right side
    35,972.17x = 984,967,817.96
  5. Step 5: Solve for x
    x = 984,967,817.96/35,972.17
  6. Step 6: Final answer
    x = 27,381.38

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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.