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Finding the Fourth Proportional to 70,743.44, 106,078.65 and 20,817.05

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Solution

The fourth proportional to 70,743.44, 106,078.65 and 20,817.05 is: 31,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,743.44 : 106,078.65 = 20,817.05 : x
  2. Step 2: Convert to fraction form
    70,743.44/106,078.65 = 20,817.05/x
  3. Step 3: Cross multiply
    70,743.44x = 106,078.65 × 20,817.05
  4. Step 4: Simplify right side
    70,743.44x = 2,208,244,549.22
  5. Step 5: Solve for x
    x = 2,208,244,549.22/70,743.44
  6. Step 6: Final answer
    x = 31,214.83

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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.