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Finding the Fourth Proportional to 27,523.44, 37,982.40 and 14,948.16

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Solution

The fourth proportional to 27,523.44, 37,982.40 and 14,948.16 is: 20,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523.44 : 37,982.40 = 14,948.16 : x
  2. Step 2: Convert to fraction form
    27,523.44/37,982.40 = 14,948.16/x
  3. Step 3: Cross multiply
    27,523.44x = 37,982.40 × 14,948.16
  4. Step 4: Simplify right side
    27,523.44x = 567,766,992.38
  5. Step 5: Solve for x
    x = 567,766,992.38/27,523.44
  6. Step 6: Final answer
    x = 20,628.49

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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.