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Finding the Fourth Proportional to 27,447.46, 37,633.06 and 27,185.02

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Solution

The fourth proportional to 27,447.46, 37,633.06 and 27,185.02 is: 37,273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,447.46 : 37,633.06 = 27,185.02 : x
  2. Step 2: Convert to fraction form
    27,447.46/37,633.06 = 27,185.02/x
  3. Step 3: Cross multiply
    27,447.46x = 37,633.06 × 27,185.02
  4. Step 4: Simplify right side
    27,447.46x = 1,023,055,488.76
  5. Step 5: Solve for x
    x = 1,023,055,488.76/27,447.46
  6. Step 6: Final answer
    x = 37,273.23

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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.