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Finding the Fourth Proportional to 41,760.63, 57,706.02 and 30,410.37

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Solution

The fourth proportional to 41,760.63, 57,706.02 and 30,410.37 is: 42,021.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,760.63 : 57,706.02 = 30,410.37 : x
  2. Step 2: Convert to fraction form
    41,760.63/57,706.02 = 30,410.37/x
  3. Step 3: Cross multiply
    41,760.63x = 57,706.02 × 30,410.37
  4. Step 4: Simplify right side
    41,760.63x = 1,754,861,419.43
  5. Step 5: Solve for x
    x = 1,754,861,419.43/41,760.63
  6. Step 6: Final answer
    x = 42,021.91

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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.