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Finding the Fourth Proportional to 35,978.31, 49,650.26 and 20,063.43

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Solution

The fourth proportional to 35,978.31, 49,650.26 and 20,063.43 is: 27,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.31 : 49,650.26 = 20,063.43 : x
  2. Step 2: Convert to fraction form
    35,978.31/49,650.26 = 20,063.43/x
  3. Step 3: Cross multiply
    35,978.31x = 49,650.26 × 20,063.43
  4. Step 4: Simplify right side
    35,978.31x = 996,154,415.67
  5. Step 5: Solve for x
    x = 996,154,415.67/35,978.31
  6. Step 6: Final answer
    x = 27,687.64

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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.