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Finding the Fourth Proportional to 31,986.69, 44,118.77 and 27,730.14

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Solution

The fourth proportional to 31,986.69, 44,118.77 and 27,730.14 is: 38,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,986.69 : 44,118.77 = 27,730.14 : x
  2. Step 2: Convert to fraction form
    31,986.69/44,118.77 = 27,730.14/x
  3. Step 3: Cross multiply
    31,986.69x = 44,118.77 × 27,730.14
  4. Step 4: Simplify right side
    31,986.69x = 1,223,419,448.13
  5. Step 5: Solve for x
    x = 1,223,419,448.13/31,986.69
  6. Step 6: Final answer
    x = 38,247.77

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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.