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Finding the Fourth Proportional to 45,044, 62,162.64 and 25,172

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Solution

The fourth proportional to 45,044, 62,162.64 and 25,172 is: 34,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,044 : 62,162.64 = 25,172 : x
  2. Step 2: Convert to fraction form
    45,044/62,162.64 = 25,172/x
  3. Step 3: Cross multiply
    45,044x = 62,162.64 × 25,172
  4. Step 4: Simplify right side
    45,044x = 1,564,757,974.08
  5. Step 5: Solve for x
    x = 1,564,757,974.08/45,044
  6. Step 6: Final answer
    x = 34,738.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.