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Finding the Fourth Proportional to 45,692.09, 68,538.14 and 12,412.16

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Solution

The fourth proportional to 45,692.09, 68,538.14 and 12,412.16 is: 18,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,692.09 : 68,538.14 = 12,412.16 : x
  2. Step 2: Convert to fraction form
    45,692.09/68,538.14 = 12,412.16/x
  3. Step 3: Cross multiply
    45,692.09x = 68,538.14 × 12,412.16
  4. Step 4: Simplify right side
    45,692.09x = 850,706,297.72
  5. Step 5: Solve for x
    x = 850,706,297.72/45,692.09
  6. Step 6: Final answer
    x = 18,618.24

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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.