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Finding the Fourth Proportional to 80,451.48, 120,678.48 and 30,518.40

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Solution

The fourth proportional to 80,451.48, 120,678.48 and 30,518.40 is: 45,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,451.48 : 120,678.48 = 30,518.40 : x
  2. Step 2: Convert to fraction form
    80,451.48/120,678.48 = 30,518.40/x
  3. Step 3: Cross multiply
    80,451.48x = 120,678.48 × 30,518.40
  4. Step 4: Simplify right side
    80,451.48x = 3,682,914,124.03
  5. Step 5: Solve for x
    x = 3,682,914,124.03/80,451.48
  6. Step 6: Final answer
    x = 45,778.08

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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.