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Finding the Fourth Proportional to 35,879.76, 53,819.76 and 11,255.76

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Solution

The fourth proportional to 35,879.76, 53,819.76 and 11,255.76 is: 16,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,879.76 : 53,819.76 = 11,255.76 : x
  2. Step 2: Convert to fraction form
    35,879.76/53,819.76 = 11,255.76/x
  3. Step 3: Cross multiply
    35,879.76x = 53,819.76 × 11,255.76
  4. Step 4: Simplify right side
    35,879.76x = 605,782,301.82
  5. Step 5: Solve for x
    x = 605,782,301.82/35,879.76
  6. Step 6: Final answer
    x = 16,883.68

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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.