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Finding the Fourth Proportional to 35,883.45, 49,511.64 and 20,775.24

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Solution

The fourth proportional to 35,883.45, 49,511.64 and 20,775.24 is: 28,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,883.45 : 49,511.64 = 20,775.24 : x
  2. Step 2: Convert to fraction form
    35,883.45/49,511.64 = 20,775.24/x
  3. Step 3: Cross multiply
    35,883.45x = 49,511.64 × 20,775.24
  4. Step 4: Simplify right side
    35,883.45x = 1,028,616,203.79
  5. Step 5: Solve for x
    x = 1,028,616,203.79/35,883.45
  6. Step 6: Final answer
    x = 28,665.48

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