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Finding the Fourth Proportional to 27,959.78, 41,954.25 and 11,332.10

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Solution

The fourth proportional to 27,959.78, 41,954.25 and 11,332.10 is: 17,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,959.78 : 41,954.25 = 11,332.10 : x
  2. Step 2: Convert to fraction form
    27,959.78/41,954.25 = 11,332.10/x
  3. Step 3: Cross multiply
    27,959.78x = 41,954.25 × 11,332.10
  4. Step 4: Simplify right side
    27,959.78x = 475,429,903.81
  5. Step 5: Solve for x
    x = 475,429,903.81/27,959.78
  6. Step 6: Final answer
    x = 17,004.06

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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.