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Finding the Fourth Proportional to 35,692.40, 49,258.18 and 19,778.32

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Solution

The fourth proportional to 35,692.40, 49,258.18 and 19,778.32 is: 27,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692.40 : 49,258.18 = 19,778.32 : x
  2. Step 2: Convert to fraction form
    35,692.40/49,258.18 = 19,778.32/x
  3. Step 3: Cross multiply
    35,692.40x = 49,258.18 × 19,778.32
  4. Step 4: Simplify right side
    35,692.40x = 974,244,046.66
  5. Step 5: Solve for x
    x = 974,244,046.66/35,692.40
  6. Step 6: Final answer
    x = 27,295.56

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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.