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Finding the Fourth Proportional to 31,953.69, 44,077.77 and 19,996.27

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Solution

The fourth proportional to 31,953.69, 44,077.77 and 19,996.27 is: 27,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,953.69 : 44,077.77 = 19,996.27 : x
  2. Step 2: Convert to fraction form
    31,953.69/44,077.77 = 19,996.27/x
  3. Step 3: Cross multiply
    31,953.69x = 44,077.77 × 19,996.27
  4. Step 4: Simplify right side
    31,953.69x = 881,390,879.72
  5. Step 5: Solve for x
    x = 881,390,879.72/31,953.69
  6. Step 6: Final answer
    x = 27,583.38

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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.