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Finding the Fourth Proportional to 51,574.50, 71,172.86 and 29,218.50

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Solution

The fourth proportional to 51,574.50, 71,172.86 and 29,218.50 is: 40,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,574.50 : 71,172.86 = 29,218.50 : x
  2. Step 2: Convert to fraction form
    51,574.50/71,172.86 = 29,218.50/x
  3. Step 3: Cross multiply
    51,574.50x = 71,172.86 × 29,218.50
  4. Step 4: Simplify right side
    51,574.50x = 2,079,564,063.82
  5. Step 5: Solve for x
    x = 2,079,564,063.82/51,574.50
  6. Step 6: Final answer
    x = 40,321.56

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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.