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Finding the Fourth Proportional to 30,677.80, 42,334.64 and 20,067.20

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Solution

The fourth proportional to 30,677.80, 42,334.64 and 20,067.20 is: 27,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.80 : 42,334.64 = 20,067.20 : x
  2. Step 2: Convert to fraction form
    30,677.80/42,334.64 = 20,067.20/x
  3. Step 3: Cross multiply
    30,677.80x = 42,334.64 × 20,067.20
  4. Step 4: Simplify right side
    30,677.80x = 849,537,687.81
  5. Step 5: Solve for x
    x = 849,537,687.81/30,677.80
  6. Step 6: Final answer
    x = 27,692.26

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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.