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Finding the Fourth Proportional to 80,410.16, 120,619.94 and 27,097.67

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Solution

The fourth proportional to 80,410.16, 120,619.94 and 27,097.67 is: 40,648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,410.16 : 120,619.94 = 27,097.67 : x
  2. Step 2: Convert to fraction form
    80,410.16/120,619.94 = 27,097.67/x
  3. Step 3: Cross multiply
    80,410.16x = 120,619.94 × 27,097.67
  4. Step 4: Simplify right side
    80,410.16x = 3,268,518,590.95
  5. Step 5: Solve for x
    x = 3,268,518,590.95/80,410.16
  6. Step 6: Final answer
    x = 40,648.08

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Why These Related Problems?

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