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Finding the Fourth Proportional to 27,959.68, 41,946.72 and 8,237.60

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Solution

The fourth proportional to 27,959.68, 41,946.72 and 8,237.60 is: 12,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,959.68 : 41,946.72 = 8,237.60 : x
  2. Step 2: Convert to fraction form
    27,959.68/41,946.72 = 8,237.60/x
  3. Step 3: Cross multiply
    27,959.68x = 41,946.72 × 8,237.60
  4. Step 4: Simplify right side
    27,959.68x = 345,540,300.67
  5. Step 5: Solve for x
    x = 345,540,300.67/27,959.68
  6. Step 6: Final answer
    x = 12,358.52

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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.