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Finding the Fourth Proportional to 35,982.38, 49,721.74 and 34,253.98

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Solution

The fourth proportional to 35,982.38, 49,721.74 and 34,253.98 is: 47,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,982.38 : 49,721.74 = 34,253.98 : x
  2. Step 2: Convert to fraction form
    35,982.38/49,721.74 = 34,253.98/x
  3. Step 3: Cross multiply
    35,982.38x = 49,721.74 × 34,253.98
  4. Step 4: Simplify right side
    35,982.38x = 1,703,167,487.53
  5. Step 5: Solve for x
    x = 1,703,167,487.53/35,982.38
  6. Step 6: Final answer
    x = 47,333.38

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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.