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Finding the Fourth Proportional to 35,698.41, 49,262.73 and 19,782.51

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Solution

The fourth proportional to 35,698.41, 49,262.73 and 19,782.51 is: 27,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,698.41 : 49,262.73 = 19,782.51 : x
  2. Step 2: Convert to fraction form
    35,698.41/49,262.73 = 19,782.51/x
  3. Step 3: Cross multiply
    35,698.41x = 49,262.73 × 19,782.51
  4. Step 4: Simplify right side
    35,698.41x = 974,540,448.85
  5. Step 5: Solve for x
    x = 974,540,448.85/35,698.41
  6. Step 6: Final answer
    x = 27,299.27

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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.