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Finding the Fourth Proportional to 31,840.77, 43,940.52 and 19,911.02

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Solution

The fourth proportional to 31,840.77, 43,940.52 and 19,911.02 is: 27,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,840.77 : 43,940.52 = 19,911.02 : x
  2. Step 2: Convert to fraction form
    31,840.77/43,940.52 = 19,911.02/x
  3. Step 3: Cross multiply
    31,840.77x = 43,940.52 × 19,911.02
  4. Step 4: Simplify right side
    31,840.77x = 874,900,682.38
  5. Step 5: Solve for x
    x = 874,900,682.38/31,840.77
  6. Step 6: Final answer
    x = 27,477.37

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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.