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Finding the Fourth Proportional to 35,978.06, 49,649.92 and 20,063.18

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Solution

The fourth proportional to 35,978.06, 49,649.92 and 20,063.18 is: 27,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.06 : 49,649.92 = 20,063.18 : x
  2. Step 2: Convert to fraction form
    35,978.06/49,649.92 = 20,063.18/x
  3. Step 3: Cross multiply
    35,978.06x = 49,649.92 × 20,063.18
  4. Step 4: Simplify right side
    35,978.06x = 996,135,281.95
  5. Step 5: Solve for x
    x = 996,135,281.95/35,978.06
  6. Step 6: Final answer
    x = 27,687.30

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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.