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Finding the Fourth Proportional to 30,094, 41,529.76 and 16,846

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Solution

The fourth proportional to 30,094, 41,529.76 and 16,846 is: 23,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,094 : 41,529.76 = 16,846 : x
  2. Step 2: Convert to fraction form
    30,094/41,529.76 = 16,846/x
  3. Step 3: Cross multiply
    30,094x = 41,529.76 × 16,846
  4. Step 4: Simplify right side
    30,094x = 699,610,336.96
  5. Step 5: Solve for x
    x = 699,610,336.96/30,094
  6. Step 6: Final answer
    x = 23,247.50

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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.