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Finding the Fourth Proportional to 69,095.76, 103,650.12 and 27,546

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Solution

The fourth proportional to 69,095.76, 103,650.12 and 27,546 is: 41,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,095.76 : 103,650.12 = 27,546 : x
  2. Step 2: Convert to fraction form
    69,095.76/103,650.12 = 27,546/x
  3. Step 3: Cross multiply
    69,095.76x = 103,650.12 × 27,546
  4. Step 4: Simplify right side
    69,095.76x = 2,855,146,205.52
  5. Step 5: Solve for x
    x = 2,855,146,205.52/69,095.76
  6. Step 6: Final answer
    x = 41,321.58

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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.