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Finding the Fourth Proportional to 38,152.80, 57,228.30 and 10,450.80

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Solution

The fourth proportional to 38,152.80, 57,228.30 and 10,450.80 is: 15,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,152.80 : 57,228.30 = 10,450.80 : x
  2. Step 2: Convert to fraction form
    38,152.80/57,228.30 = 10,450.80/x
  3. Step 3: Cross multiply
    38,152.80x = 57,228.30 × 10,450.80
  4. Step 4: Simplify right side
    38,152.80x = 598,081,517.64
  5. Step 5: Solve for x
    x = 598,081,517.64/38,152.80
  6. Step 6: Final answer
    x = 15,675.95

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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.