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Finding the Fourth Proportional to 35,664, 49,219.68 and 20,556.96

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Solution

The fourth proportional to 35,664, 49,219.68 and 20,556.96 is: 28,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,664 : 49,219.68 = 20,556.96 : x
  2. Step 2: Convert to fraction form
    35,664/49,219.68 = 20,556.96/x
  3. Step 3: Cross multiply
    35,664x = 49,219.68 × 20,556.96
  4. Step 4: Simplify right side
    35,664x = 1,011,806,992.97
  5. Step 5: Solve for x
    x = 1,011,806,992.97/35,664
  6. Step 6: Final answer
    x = 28,370.54

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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.