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Finding the Fourth Proportional to 38,180.25, 57,271.46 and 10,478.25

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Solution

The fourth proportional to 38,180.25, 57,271.46 and 10,478.25 is: 15,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,180.25 : 57,271.46 = 10,478.25 : x
  2. Step 2: Convert to fraction form
    38,180.25/57,271.46 = 10,478.25/x
  3. Step 3: Cross multiply
    38,180.25x = 57,271.46 × 10,478.25
  4. Step 4: Simplify right side
    38,180.25x = 600,104,675.75
  5. Step 5: Solve for x
    x = 600,104,675.75/38,180.25
  6. Step 6: Final answer
    x = 15,717.67

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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.