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Finding the Fourth Proportional to 41,412, 57,144.96 and 23,507.76

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Solution

The fourth proportional to 41,412, 57,144.96 and 23,507.76 is: 32,438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,412 : 57,144.96 = 23,507.76 : x
  2. Step 2: Convert to fraction form
    41,412/57,144.96 = 23,507.76/x
  3. Step 3: Cross multiply
    41,412x = 57,144.96 × 23,507.76
  4. Step 4: Simplify right side
    41,412x = 1,343,350,004.89
  5. Step 5: Solve for x
    x = 1,343,350,004.89/41,412
  6. Step 6: Final answer
    x = 32,438.67

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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.