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Finding the Fourth Proportional to 30,829.82, 42,573.87 and 22,692.11

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Solution

The fourth proportional to 30,829.82, 42,573.87 and 22,692.11 is: 31,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.82 : 42,573.87 = 22,692.11 : x
  2. Step 2: Convert to fraction form
    30,829.82/42,573.87 = 22,692.11/x
  3. Step 3: Cross multiply
    30,829.82x = 42,573.87 × 22,692.11
  4. Step 4: Simplify right side
    30,829.82x = 966,090,728.30
  5. Step 5: Solve for x
    x = 966,090,728.30/30,829.82
  6. Step 6: Final answer
    x = 31,336.25

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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.