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Finding the Fourth Proportional to 51,257.81, 70,738.92 and 28,596.85

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Solution

The fourth proportional to 51,257.81, 70,738.92 and 28,596.85 is: 39,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,257.81 : 70,738.92 = 28,596.85 : x
  2. Step 2: Convert to fraction form
    51,257.81/70,738.92 = 28,596.85/x
  3. Step 3: Cross multiply
    51,257.81x = 70,738.92 × 28,596.85
  4. Step 4: Simplify right side
    51,257.81x = 2,022,910,284.40
  5. Step 5: Solve for x
    x = 2,022,910,284.40/51,257.81
  6. Step 6: Final answer
    x = 39,465.41

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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.