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Finding the Fourth Proportional to 79,446.34, 119,184.87 and 30,194.50

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Solution

The fourth proportional to 79,446.34, 119,184.87 and 30,194.50 is: 45,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,446.34 : 119,184.87 = 30,194.50 : x
  2. Step 2: Convert to fraction form
    79,446.34/119,184.87 = 30,194.50/x
  3. Step 3: Cross multiply
    79,446.34x = 119,184.87 × 30,194.50
  4. Step 4: Simplify right side
    79,446.34x = 3,598,727,557.22
  5. Step 5: Solve for x
    x = 3,598,727,557.22/79,446.34
  6. Step 6: Final answer
    x = 45,297.59

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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.