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Finding the Fourth Proportional to 27,867.51, 38,243.88 and 27,670.68

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Solution

The fourth proportional to 27,867.51, 38,243.88 and 27,670.68 is: 37,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867.51 : 38,243.88 = 27,670.68 : x
  2. Step 2: Convert to fraction form
    27,867.51/38,243.88 = 27,670.68/x
  3. Step 3: Cross multiply
    27,867.51x = 38,243.88 × 27,670.68
  4. Step 4: Simplify right side
    27,867.51x = 1,058,234,165.44
  5. Step 5: Solve for x
    x = 1,058,234,165.44/27,867.51
  6. Step 6: Final answer
    x = 37,973.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.