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Finding the Fourth Proportional to 57,556.86, 86,335.29 and 27,949.32

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Solution

The fourth proportional to 57,556.86, 86,335.29 and 27,949.32 is: 41,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,556.86 : 86,335.29 = 27,949.32 : x
  2. Step 2: Convert to fraction form
    57,556.86/86,335.29 = 27,949.32/x
  3. Step 3: Cross multiply
    57,556.86x = 86,335.29 × 27,949.32
  4. Step 4: Simplify right side
    57,556.86x = 2,413,012,647.50
  5. Step 5: Solve for x
    x = 2,413,012,647.50/57,556.86
  6. Step 6: Final answer
    x = 41,923.98

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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.