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Finding the Fourth Proportional to 18,076.94, 27,112.64 and 4,930.34

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Solution

The fourth proportional to 18,076.94, 27,112.64 and 4,930.34 is: 7,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,076.94 : 27,112.64 = 4,930.34 : x
  2. Step 2: Convert to fraction form
    18,076.94/27,112.64 = 4,930.34/x
  3. Step 3: Cross multiply
    18,076.94x = 27,112.64 × 4,930.34
  4. Step 4: Simplify right side
    18,076.94x = 133,674,533.50
  5. Step 5: Solve for x
    x = 133,674,533.50/18,076.94
  6. Step 6: Final answer
    x = 7,394.75

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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.