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Finding the Fourth Proportional to 27,881.26, 41,800.02 and 13,831.41

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Solution

The fourth proportional to 27,881.26, 41,800.02 and 13,831.41 is: 20,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881.26 : 41,800.02 = 13,831.41 : x
  2. Step 2: Convert to fraction form
    27,881.26/41,800.02 = 13,831.41/x
  3. Step 3: Cross multiply
    27,881.26x = 41,800.02 × 13,831.41
  4. Step 4: Simplify right side
    27,881.26x = 578,153,005.63
  5. Step 5: Solve for x
    x = 578,153,005.63/27,881.26
  6. Step 6: Final answer
    x = 20,736.26

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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.