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Finding the Fourth Proportional to 39,506.96, 54,548.16 and 24,420.30

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Solution

The fourth proportional to 39,506.96, 54,548.16 and 24,420.30 is: 33,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,506.96 : 54,548.16 = 24,420.30 : x
  2. Step 2: Convert to fraction form
    39,506.96/54,548.16 = 24,420.30/x
  3. Step 3: Cross multiply
    39,506.96x = 54,548.16 × 24,420.30
  4. Step 4: Simplify right side
    39,506.96x = 1,332,082,431.65
  5. Step 5: Solve for x
    x = 1,332,082,431.65/39,506.96
  6. Step 6: Final answer
    x = 33,717.67

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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.