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Finding the Fourth Proportional to 51,969.27, 71,718.36 and 29,309.34

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Solution

The fourth proportional to 51,969.27, 71,718.36 and 29,309.34 is: 40,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,969.27 : 71,718.36 = 29,309.34 : x
  2. Step 2: Convert to fraction form
    51,969.27/71,718.36 = 29,309.34/x
  3. Step 3: Cross multiply
    51,969.27x = 71,718.36 × 29,309.34
  4. Step 4: Simplify right side
    51,969.27x = 2,102,017,797.48
  5. Step 5: Solve for x
    x = 2,102,017,797.48/51,969.27
  6. Step 6: Final answer
    x = 40,447.32

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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.