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Finding the Fourth Proportional to 80,492.68, 120,739.01 and 27,902.17

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Solution

The fourth proportional to 80,492.68, 120,739.01 and 27,902.17 is: 41,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,492.68 : 120,739.01 = 27,902.17 : x
  2. Step 2: Convert to fraction form
    80,492.68/120,739.01 = 27,902.17/x
  3. Step 3: Cross multiply
    80,492.68x = 120,739.01 × 27,902.17
  4. Step 4: Simplify right side
    80,492.68x = 3,368,879,848.71
  5. Step 5: Solve for x
    x = 3,368,879,848.71/80,492.68
  6. Step 6: Final answer
    x = 41,853.25

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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.