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Finding the Fourth Proportional to 31,642.41, 43,656.66 and 21,033.84

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Solution

The fourth proportional to 31,642.41, 43,656.66 and 21,033.84 is: 29,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.41 : 43,656.66 = 21,033.84 : x
  2. Step 2: Convert to fraction form
    31,642.41/43,656.66 = 21,033.84/x
  3. Step 3: Cross multiply
    31,642.41x = 43,656.66 × 21,033.84
  4. Step 4: Simplify right side
    31,642.41x = 918,267,201.37
  5. Step 5: Solve for x
    x = 918,267,201.37/31,642.41
  6. Step 6: Final answer
    x = 29,020.14

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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.