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Finding the Fourth Proportional to 57,858.91, 86,676.28 and 32,823.23

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Solution

The fourth proportional to 57,858.91, 86,676.28 and 32,823.23 is: 49,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,858.91 : 86,676.28 = 32,823.23 : x
  2. Step 2: Convert to fraction form
    57,858.91/86,676.28 = 32,823.23/x
  3. Step 3: Cross multiply
    57,858.91x = 86,676.28 × 32,823.23
  4. Step 4: Simplify right side
    57,858.91x = 2,844,994,958.54
  5. Step 5: Solve for x
    x = 2,844,994,958.54/57,858.91
  6. Step 6: Final answer
    x = 49,171.25

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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.