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Finding the Fourth Proportional to 38,576.34, 57,900.16 and 23,814.10

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Solution

The fourth proportional to 38,576.34, 57,900.16 and 23,814.10 is: 35,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,576.34 : 57,900.16 = 23,814.10 : x
  2. Step 2: Convert to fraction form
    38,576.34/57,900.16 = 23,814.10/x
  3. Step 3: Cross multiply
    38,576.34x = 57,900.16 × 23,814.10
  4. Step 4: Simplify right side
    38,576.34x = 1,378,840,200.26
  5. Step 5: Solve for x
    x = 1,378,840,200.26/38,576.34
  6. Step 6: Final answer
    x = 35,743.16

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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.