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Finding the Fourth Proportional to 20,048.81, 30,074.21 and 5,257.76

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Solution

The fourth proportional to 20,048.81, 30,074.21 and 5,257.76 is: 7,886.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.81 : 30,074.21 = 5,257.76 : x
  2. Step 2: Convert to fraction form
    20,048.81/30,074.21 = 5,257.76/x
  3. Step 3: Cross multiply
    20,048.81x = 30,074.21 × 5,257.76
  4. Step 4: Simplify right side
    20,048.81x = 158,122,952.08
  5. Step 5: Solve for x
    x = 158,122,952.08/20,048.81
  6. Step 6: Final answer
    x = 7,886.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.