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Finding the Fourth Proportional to 35,512.16, 49,004.87 and 22,083.03

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Solution

The fourth proportional to 35,512.16, 49,004.87 and 22,083.03 is: 30,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,512.16 : 49,004.87 = 22,083.03 : x
  2. Step 2: Convert to fraction form
    35,512.16/49,004.87 = 22,083.03/x
  3. Step 3: Cross multiply
    35,512.16x = 49,004.87 × 22,083.03
  4. Step 4: Simplify right side
    35,512.16x = 1,082,175,903.94
  5. Step 5: Solve for x
    x = 1,082,175,903.94/35,512.16
  6. Step 6: Final answer
    x = 30,473.39

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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.