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Finding the Fourth Proportional to 51,204.88, 76,758 and 26,256.64

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Solution

The fourth proportional to 51,204.88, 76,758 and 26,256.64 is: 39,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,204.88 : 76,758 = 26,256.64 : x
  2. Step 2: Convert to fraction form
    51,204.88/76,758 = 26,256.64/x
  3. Step 3: Cross multiply
    51,204.88x = 76,758 × 26,256.64
  4. Step 4: Simplify right side
    51,204.88x = 2,015,407,173.12
  5. Step 5: Solve for x
    x = 2,015,407,173.12/51,204.88
  6. Step 6: Final answer
    x = 39,359.67

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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.