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Finding the Fourth Proportional to 27,047.94, 40,543.14 and 15,959.82

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Solution

The fourth proportional to 27,047.94, 40,543.14 and 15,959.82 is: 23,922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047.94 : 40,543.14 = 15,959.82 : x
  2. Step 2: Convert to fraction form
    27,047.94/40,543.14 = 15,959.82/x
  3. Step 3: Cross multiply
    27,047.94x = 40,543.14 × 15,959.82
  4. Step 4: Simplify right side
    27,047.94x = 647,061,216.63
  5. Step 5: Solve for x
    x = 647,061,216.63/27,047.94
  6. Step 6: Final answer
    x = 23,922.75

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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.