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Finding the Fourth Proportional to 31,802.63, 43,982.87 and 27,816.80

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Solution

The fourth proportional to 31,802.63, 43,982.87 and 27,816.80 is: 38,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.63 : 43,982.87 = 27,816.80 : x
  2. Step 2: Convert to fraction form
    31,802.63/43,982.87 = 27,816.80/x
  3. Step 3: Cross multiply
    31,802.63x = 43,982.87 × 27,816.80
  4. Step 4: Simplify right side
    31,802.63x = 1,223,462,339.22
  5. Step 5: Solve for x
    x = 1,223,462,339.22/31,802.63
  6. Step 6: Final answer
    x = 38,470.48

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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.