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Finding the Fourth Proportional to 41,412.64, 57,147.66 and 23,507.32

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Solution

The fourth proportional to 41,412.64, 57,147.66 and 23,507.32 is: 32,439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,412.64 : 57,147.66 = 23,507.32 : x
  2. Step 2: Convert to fraction form
    41,412.64/57,147.66 = 23,507.32/x
  3. Step 3: Cross multiply
    41,412.64x = 57,147.66 × 23,507.32
  4. Step 4: Simplify right side
    41,412.64x = 1,343,388,330.87
  5. Step 5: Solve for x
    x = 1,343,388,330.87/41,412.64
  6. Step 6: Final answer
    x = 32,439.09

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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.