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Finding the Fourth Proportional to 35,953.12, 49,600.92 and 21,800.80

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Solution

The fourth proportional to 35,953.12, 49,600.92 and 21,800.80 is: 30,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,953.12 : 49,600.92 = 21,800.80 : x
  2. Step 2: Convert to fraction form
    35,953.12/49,600.92 = 21,800.80/x
  3. Step 3: Cross multiply
    35,953.12x = 49,600.92 × 21,800.80
  4. Step 4: Simplify right side
    35,953.12x = 1,081,339,736.74
  5. Step 5: Solve for x
    x = 1,081,339,736.74/35,953.12
  6. Step 6: Final answer
    x = 30,076.38

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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.