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Finding the Fourth Proportional to 31,223.76, 43,075.71 and 20,471.21

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Solution

The fourth proportional to 31,223.76, 43,075.71 and 20,471.21 is: 28,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,223.76 : 43,075.71 = 20,471.21 : x
  2. Step 2: Convert to fraction form
    31,223.76/43,075.71 = 20,471.21/x
  3. Step 3: Cross multiply
    31,223.76x = 43,075.71 × 20,471.21
  4. Step 4: Simplify right side
    31,223.76x = 881,811,905.31
  5. Step 5: Solve for x
    x = 881,811,905.31/31,223.76
  6. Step 6: Final answer
    x = 28,241.69

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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.