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Finding the Fourth Proportional to 32,692.36, 49,028.80 and 11,911

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Solution

The fourth proportional to 32,692.36, 49,028.80 and 11,911 is: 17,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692.36 : 49,028.80 = 11,911 : x
  2. Step 2: Convert to fraction form
    32,692.36/49,028.80 = 11,911/x
  3. Step 3: Cross multiply
    32,692.36x = 49,028.80 × 11,911
  4. Step 4: Simplify right side
    32,692.36x = 583,982,036.80
  5. Step 5: Solve for x
    x = 583,982,036.80/32,692.36
  6. Step 6: Final answer
    x = 17,862.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.