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Finding the Fourth Proportional to 57,494.52, 86,242.14 and 20,054.44

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Solution

The fourth proportional to 57,494.52, 86,242.14 and 20,054.44 is: 30,081.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,494.52 : 86,242.14 = 20,054.44 : x
  2. Step 2: Convert to fraction form
    57,494.52/86,242.14 = 20,054.44/x
  3. Step 3: Cross multiply
    57,494.52x = 86,242.14 × 20,054.44
  4. Step 4: Simplify right side
    57,494.52x = 1,729,537,822.10
  5. Step 5: Solve for x
    x = 1,729,537,822.10/57,494.52
  6. Step 6: Final answer
    x = 30,081.79

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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.