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Finding the Fourth Proportional to 31,564.61, 43,581.18 and 19,633.31

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Solution

The fourth proportional to 31,564.61, 43,581.18 and 19,633.31 is: 27,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.61 : 43,581.18 = 19,633.31 : x
  2. Step 2: Convert to fraction form
    31,564.61/43,581.18 = 19,633.31/x
  3. Step 3: Cross multiply
    31,564.61x = 43,581.18 × 19,633.31
  4. Step 4: Simplify right side
    31,564.61x = 855,642,817.11
  5. Step 5: Solve for x
    x = 855,642,817.11/31,564.61
  6. Step 6: Final answer
    x = 27,107.66

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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.