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Finding the Fourth Proportional to 35,988.41, 49,638.26 and 31,199.78

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Solution

The fourth proportional to 35,988.41, 49,638.26 and 31,199.78 is: 43,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,988.41 : 49,638.26 = 31,199.78 : x
  2. Step 2: Convert to fraction form
    35,988.41/49,638.26 = 31,199.78/x
  3. Step 3: Cross multiply
    35,988.41x = 49,638.26 × 31,199.78
  4. Step 4: Simplify right side
    35,988.41x = 1,548,702,993.68
  5. Step 5: Solve for x
    x = 1,548,702,993.68/35,988.41
  6. Step 6: Final answer
    x = 43,033.38

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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.