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Finding the Fourth Proportional to 35,806.86, 49,410.41 and 19,891.58

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Solution

The fourth proportional to 35,806.86, 49,410.41 and 19,891.58 is: 27,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,806.86 : 49,410.41 = 19,891.58 : x
  2. Step 2: Convert to fraction form
    35,806.86/49,410.41 = 19,891.58/x
  3. Step 3: Cross multiply
    35,806.86x = 49,410.41 × 19,891.58
  4. Step 4: Simplify right side
    35,806.86x = 982,850,776.84
  5. Step 5: Solve for x
    x = 982,850,776.84/35,806.86
  6. Step 6: Final answer
    x = 27,448.67

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Why These Related Problems?

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