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Finding the Fourth Proportional to 38,300.80, 57,446.56 and 10,222.88

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Solution

The fourth proportional to 38,300.80, 57,446.56 and 10,222.88 is: 15,333.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,300.80 : 57,446.56 = 10,222.88 : x
  2. Step 2: Convert to fraction form
    38,300.80/57,446.56 = 10,222.88/x
  3. Step 3: Cross multiply
    38,300.80x = 57,446.56 × 10,222.88
  4. Step 4: Simplify right side
    38,300.80x = 587,269,289.29
  5. Step 5: Solve for x
    x = 587,269,289.29/38,300.80
  6. Step 6: Final answer
    x = 15,333.08

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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.