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Finding the Fourth Proportional to 31,762.82, 43,804.04 and 19,827.27

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Solution

The fourth proportional to 31,762.82, 43,804.04 and 19,827.27 is: 27,343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.82 : 43,804.04 = 19,827.27 : x
  2. Step 2: Convert to fraction form
    31,762.82/43,804.04 = 19,827.27/x
  3. Step 3: Cross multiply
    31,762.82x = 43,804.04 × 19,827.27
  4. Step 4: Simplify right side
    31,762.82x = 868,514,429.03
  5. Step 5: Solve for x
    x = 868,514,429.03/31,762.82
  6. Step 6: Final answer
    x = 27,343.75

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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.