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Finding the Fourth Proportional to 49,094, 67,749.72 and 26,738

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Solution

The fourth proportional to 49,094, 67,749.72 and 26,738 is: 36,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,094 : 67,749.72 = 26,738 : x
  2. Step 2: Convert to fraction form
    49,094/67,749.72 = 26,738/x
  3. Step 3: Cross multiply
    49,094x = 67,749.72 × 26,738
  4. Step 4: Simplify right side
    49,094x = 1,811,492,013.36
  5. Step 5: Solve for x
    x = 1,811,492,013.36/49,094
  6. Step 6: Final answer
    x = 36,898.44

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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.