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Finding the Fourth Proportional to 38,454.37, 57,707.30 and 13,494.54

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Solution

The fourth proportional to 38,454.37, 57,707.30 and 13,494.54 is: 20,250.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,454.37 : 57,707.30 = 13,494.54 : x
  2. Step 2: Convert to fraction form
    38,454.37/57,707.30 = 13,494.54/x
  3. Step 3: Cross multiply
    38,454.37x = 57,707.30 × 13,494.54
  4. Step 4: Simplify right side
    38,454.37x = 778,733,468.14
  5. Step 5: Solve for x
    x = 778,733,468.14/38,454.37
  6. Step 6: Final answer
    x = 20,250.84

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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.