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Finding the Fourth Proportional to 27,959.50, 41,939.28 and 7,183

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Solution

The fourth proportional to 27,959.50, 41,939.28 and 7,183 is: 10,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,959.50 : 41,939.28 = 7,183 : x
  2. Step 2: Convert to fraction form
    27,959.50/41,939.28 = 7,183/x
  3. Step 3: Cross multiply
    27,959.50x = 41,939.28 × 7,183
  4. Step 4: Simplify right side
    27,959.50x = 301,249,848.24
  5. Step 5: Solve for x
    x = 301,249,848.24/27,959.50
  6. Step 6: Final answer
    x = 10,774.51

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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.