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Finding the Fourth Proportional to 35,978.36, 49,650.44 and 20,063.84

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Solution

The fourth proportional to 35,978.36, 49,650.44 and 20,063.84 is: 27,688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.36 : 49,650.44 = 20,063.84 : x
  2. Step 2: Convert to fraction form
    35,978.36/49,650.44 = 20,063.84/x
  3. Step 3: Cross multiply
    35,978.36x = 49,650.44 × 20,063.84
  4. Step 4: Simplify right side
    35,978.36x = 996,178,484.09
  5. Step 5: Solve for x
    x = 996,178,484.09/35,978.36
  6. Step 6: Final answer
    x = 27,688.27

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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.