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Finding the Fourth Proportional to 27,047.92, 40,543.16 and 15,959.84

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Solution

The fourth proportional to 27,047.92, 40,543.16 and 15,959.84 is: 23,922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047.92 : 40,543.16 = 15,959.84 : x
  2. Step 2: Convert to fraction form
    27,047.92/40,543.16 = 15,959.84/x
  3. Step 3: Cross multiply
    27,047.92x = 40,543.16 × 15,959.84
  4. Step 4: Simplify right side
    27,047.92x = 647,062,346.69
  5. Step 5: Solve for x
    x = 647,062,346.69/27,047.92
  6. Step 6: Final answer
    x = 23,922.81

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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.