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Finding the Fourth Proportional to 39,576.32, 54,615.10 and 21,427

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Solution

The fourth proportional to 39,576.32, 54,615.10 and 21,427 is: 29,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,576.32 : 54,615.10 = 21,427 : x
  2. Step 2: Convert to fraction form
    39,576.32/54,615.10 = 21,427/x
  3. Step 3: Cross multiply
    39,576.32x = 54,615.10 × 21,427
  4. Step 4: Simplify right side
    39,576.32x = 1,170,237,747.70
  5. Step 5: Solve for x
    x = 1,170,237,747.70/39,576.32
  6. Step 6: Final answer
    x = 29,569.14

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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.