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Finding the Fourth Proportional to 51,900.70, 71,608.15 and 29,231.77

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Solution

The fourth proportional to 51,900.70, 71,608.15 and 29,231.77 is: 40,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,900.70 : 71,608.15 = 29,231.77 : x
  2. Step 2: Convert to fraction form
    51,900.70/71,608.15 = 29,231.77/x
  3. Step 3: Cross multiply
    51,900.70x = 71,608.15 × 29,231.77
  4. Step 4: Simplify right side
    51,900.70x = 2,093,232,718.83
  5. Step 5: Solve for x
    x = 2,093,232,718.83/51,900.70
  6. Step 6: Final answer
    x = 40,331.49

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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.