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Finding the Fourth Proportional to 32,791.30, 49,238.79 and 25,896.58

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Solution

The fourth proportional to 32,791.30, 49,238.79 and 25,896.58 is: 38,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,791.30 : 49,238.79 = 25,896.58 : x
  2. Step 2: Convert to fraction form
    32,791.30/49,238.79 = 25,896.58/x
  3. Step 3: Cross multiply
    32,791.30x = 49,238.79 × 25,896.58
  4. Step 4: Simplify right side
    32,791.30x = 1,275,116,264.34
  5. Step 5: Solve for x
    x = 1,275,116,264.34/32,791.30
  6. Step 6: Final answer
    x = 38,885.81

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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.