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Finding the Fourth Proportional to 38,256.56, 57,401.04 and 20,738.48

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Solution

The fourth proportional to 38,256.56, 57,401.04 and 20,738.48 is: 31,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,256.56 : 57,401.04 = 20,738.48 : x
  2. Step 2: Convert to fraction form
    38,256.56/57,401.04 = 20,738.48/x
  3. Step 3: Cross multiply
    38,256.56x = 57,401.04 × 20,738.48
  4. Step 4: Simplify right side
    38,256.56x = 1,190,410,320.02
  5. Step 5: Solve for x
    x = 1,190,410,320.02/38,256.56
  6. Step 6: Final answer
    x = 31,116.50

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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.