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Finding the Fourth Proportional to 31,987.69, 44,120.15 and 27,731.14

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Solution

The fourth proportional to 31,987.69, 44,120.15 and 27,731.14 is: 38,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,987.69 : 44,120.15 = 27,731.14 : x
  2. Step 2: Convert to fraction form
    31,987.69/44,120.15 = 27,731.14/x
  3. Step 3: Cross multiply
    31,987.69x = 44,120.15 × 27,731.14
  4. Step 4: Simplify right side
    31,987.69x = 1,223,502,056.47
  5. Step 5: Solve for x
    x = 1,223,502,056.47/31,987.69
  6. Step 6: Final answer
    x = 38,249.15

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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.