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Finding the Fourth Proportional to 38,530.94, 57,796.41 and 10,828.94

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Solution

The fourth proportional to 38,530.94, 57,796.41 and 10,828.94 is: 16,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,530.94 : 57,796.41 = 10,828.94 : x
  2. Step 2: Convert to fraction form
    38,530.94/57,796.41 = 10,828.94/x
  3. Step 3: Cross multiply
    38,530.94x = 57,796.41 × 10,828.94
  4. Step 4: Simplify right side
    38,530.94x = 625,873,684.54
  5. Step 5: Solve for x
    x = 625,873,684.54/38,530.94
  6. Step 6: Final answer
    x = 16,243.41

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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.