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Finding the Fourth Proportional to 69,146.61, 103,696.81 and 27,015.77

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Solution

The fourth proportional to 69,146.61, 103,696.81 and 27,015.77 is: 40,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,146.61 : 103,696.81 = 27,015.77 : x
  2. Step 2: Convert to fraction form
    69,146.61/103,696.81 = 27,015.77/x
  3. Step 3: Cross multiply
    69,146.61x = 103,696.81 × 27,015.77
  4. Step 4: Simplify right side
    69,146.61x = 2,801,448,582.67
  5. Step 5: Solve for x
    x = 2,801,448,582.67/69,146.61
  6. Step 6: Final answer
    x = 40,514.62

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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.