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Finding the Fourth Proportional to 57,386.25, 86,094 and 33,713.87

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Solution

The fourth proportional to 57,386.25, 86,094 and 33,713.87 is: 50,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,386.25 : 86,094 = 33,713.87 : x
  2. Step 2: Convert to fraction form
    57,386.25/86,094 = 33,713.87/x
  3. Step 3: Cross multiply
    57,386.25x = 86,094 × 33,713.87
  4. Step 4: Simplify right side
    57,386.25x = 2,902,561,493.31
  5. Step 5: Solve for x
    x = 2,902,561,493.31/57,386.25
  6. Step 6: Final answer
    x = 50,579.39

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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.