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Finding the Fourth Proportional to 41,506.30, 57,283.61 and 23,604

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Solution

The fourth proportional to 41,506.30, 57,283.61 and 23,604 is: 32,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,506.30 : 57,283.61 = 23,604 : x
  2. Step 2: Convert to fraction form
    41,506.30/57,283.61 = 23,604/x
  3. Step 3: Cross multiply
    41,506.30x = 57,283.61 × 23,604
  4. Step 4: Simplify right side
    41,506.30x = 1,352,122,330.44
  5. Step 5: Solve for x
    x = 1,352,122,330.44/41,506.30
  6. Step 6: Final answer
    x = 32,576.32

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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.