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Finding the Fourth Proportional to 34,644.24, 51,935.04 and 12,452.40

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Solution

The fourth proportional to 34,644.24, 51,935.04 and 12,452.40 is: 18,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,644.24 : 51,935.04 = 12,452.40 : x
  2. Step 2: Convert to fraction form
    34,644.24/51,935.04 = 12,452.40/x
  3. Step 3: Cross multiply
    34,644.24x = 51,935.04 × 12,452.40
  4. Step 4: Simplify right side
    34,644.24x = 646,715,892.10
  5. Step 5: Solve for x
    x = 646,715,892.10/34,644.24
  6. Step 6: Final answer
    x = 18,667.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.