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Finding the Fourth Proportional to 38,245.64, 52,749.78 and 27,670.28

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Solution

The fourth proportional to 38,245.64, 52,749.78 and 27,670.28 is: 38,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245.64 : 52,749.78 = 27,670.28 : x
  2. Step 2: Convert to fraction form
    38,245.64/52,749.78 = 27,670.28/x
  3. Step 3: Cross multiply
    38,245.64x = 52,749.78 × 27,670.28
  4. Step 4: Simplify right side
    38,245.64x = 1,459,601,182.54
  5. Step 5: Solve for x
    x = 1,459,601,182.54/38,245.64
  6. Step 6: Final answer
    x = 38,163.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.