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Finding the Fourth Proportional to 27,831.50, 41,749.68 and 7,055

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Solution

The fourth proportional to 27,831.50, 41,749.68 and 7,055 is: 10,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831.50 : 41,749.68 = 7,055 : x
  2. Step 2: Convert to fraction form
    27,831.50/41,749.68 = 7,055/x
  3. Step 3: Cross multiply
    27,831.50x = 41,749.68 × 7,055
  4. Step 4: Simplify right side
    27,831.50x = 294,543,992.40
  5. Step 5: Solve for x
    x = 294,543,992.40/27,831.50
  6. Step 6: Final answer
    x = 10,583.12

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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.