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Finding the Fourth Proportional to 35,371.92, 48,796.84 and 21,200.16

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Solution

The fourth proportional to 35,371.92, 48,796.84 and 21,200.16 is: 29,246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,371.92 : 48,796.84 = 21,200.16 : x
  2. Step 2: Convert to fraction form
    35,371.92/48,796.84 = 21,200.16/x
  3. Step 3: Cross multiply
    35,371.92x = 48,796.84 × 21,200.16
  4. Step 4: Simplify right side
    35,371.92x = 1,034,500,815.49
  5. Step 5: Solve for x
    x = 1,034,500,815.49/35,371.92
  6. Step 6: Final answer
    x = 29,246.39

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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.