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Finding the Fourth Proportional to 49,289.85, 68,027.04 and 28,071.09

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Solution

The fourth proportional to 49,289.85, 68,027.04 and 28,071.09 is: 38,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,289.85 : 68,027.04 = 28,071.09 : x
  2. Step 2: Convert to fraction form
    49,289.85/68,027.04 = 28,071.09/x
  3. Step 3: Cross multiply
    49,289.85x = 68,027.04 × 28,071.09
  4. Step 4: Simplify right side
    49,289.85x = 1,909,593,162.27
  5. Step 5: Solve for x
    x = 1,909,593,162.27/49,289.85
  6. Step 6: Final answer
    x = 38,742.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.