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Finding the Fourth Proportional to 80,461.40, 120,692.10 and 49,314.20

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Solution

The fourth proportional to 80,461.40, 120,692.10 and 49,314.20 is: 73,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,461.40 : 120,692.10 = 49,314.20 : x
  2. Step 2: Convert to fraction form
    80,461.40/120,692.10 = 49,314.20/x
  3. Step 3: Cross multiply
    80,461.40x = 120,692.10 × 49,314.20
  4. Step 4: Simplify right side
    80,461.40x = 5,951,834,357.82
  5. Step 5: Solve for x
    x = 5,951,834,357.82/80,461.40
  6. Step 6: Final answer
    x = 73,971.30

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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.