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Finding the Fourth Proportional to 27,342, 37,748.36 and 17,926.97

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Solution

The fourth proportional to 27,342, 37,748.36 and 17,926.97 is: 24,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,342 : 37,748.36 = 17,926.97 : x
  2. Step 2: Convert to fraction form
    27,342/37,748.36 = 17,926.97/x
  3. Step 3: Cross multiply
    27,342x = 37,748.36 × 17,926.97
  4. Step 4: Simplify right side
    27,342x = 676,713,573.34
  5. Step 5: Solve for x
    x = 676,713,573.34/27,342
  6. Step 6: Final answer
    x = 24,749.97

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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.