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Finding the Fourth Proportional to 27,342, 41,009.34 and 10,690.44

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Solution

The fourth proportional to 27,342, 41,009.34 and 10,690.44 is: 16,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,342 : 41,009.34 = 10,690.44 : x
  2. Step 2: Convert to fraction form
    27,342/41,009.34 = 10,690.44/x
  3. Step 3: Cross multiply
    27,342x = 41,009.34 × 10,690.44
  4. Step 4: Simplify right side
    27,342x = 438,407,888.71
  5. Step 5: Solve for x
    x = 438,407,888.71/27,342
  6. Step 6: Final answer
    x = 16,034.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.