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Finding the Fourth Proportional to 57,494.10, 86,255.49 and 20,054.70

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Solution

The fourth proportional to 57,494.10, 86,255.49 and 20,054.70 is: 30,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,494.10 : 86,255.49 = 20,054.70 : x
  2. Step 2: Convert to fraction form
    57,494.10/86,255.49 = 20,054.70/x
  3. Step 3: Cross multiply
    57,494.10x = 86,255.49 × 20,054.70
  4. Step 4: Simplify right side
    57,494.10x = 1,729,827,975.30
  5. Step 5: Solve for x
    x = 1,729,827,975.30/57,494.10
  6. Step 6: Final answer
    x = 30,087.05

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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.