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Finding the Fourth Proportional to 55,959.46, 83,910.67 and 27,498.31

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Solution

The fourth proportional to 55,959.46, 83,910.67 and 27,498.31 is: 41,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,959.46 : 83,910.67 = 27,498.31 : x
  2. Step 2: Convert to fraction form
    55,959.46/83,910.67 = 27,498.31/x
  3. Step 3: Cross multiply
    55,959.46x = 83,910.67 × 27,498.31
  4. Step 4: Simplify right side
    55,959.46x = 2,307,401,615.97
  5. Step 5: Solve for x
    x = 2,307,401,615.97/55,959.46
  6. Step 6: Final answer
    x = 41,233.45

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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.