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Finding the Fourth Proportional to 31,511.25, 43,485.71 and 21,965.13

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Solution

The fourth proportional to 31,511.25, 43,485.71 and 21,965.13 is: 30,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511.25 : 43,485.71 = 21,965.13 : x
  2. Step 2: Convert to fraction form
    31,511.25/43,485.71 = 21,965.13/x
  3. Step 3: Cross multiply
    31,511.25x = 43,485.71 × 21,965.13
  4. Step 4: Simplify right side
    31,511.25x = 955,169,163.47
  5. Step 5: Solve for x
    x = 955,169,163.47/31,511.25
  6. Step 6: Final answer
    x = 30,312.00

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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.