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Finding the Fourth Proportional to 30,686.80, 42,348.30 and 20,076.44

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Solution

The fourth proportional to 30,686.80, 42,348.30 and 20,076.44 is: 27,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,686.80 : 42,348.30 = 20,076.44 : x
  2. Step 2: Convert to fraction form
    30,686.80/42,348.30 = 20,076.44/x
  3. Step 3: Cross multiply
    30,686.80x = 42,348.30 × 20,076.44
  4. Step 4: Simplify right side
    30,686.80x = 850,203,104.05
  5. Step 5: Solve for x
    x = 850,203,104.05/30,686.80
  6. Step 6: Final answer
    x = 27,705.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.