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Finding the Fourth Proportional to 69,696.83, 104,549.22 and 19,773

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Solution

The fourth proportional to 69,696.83, 104,549.22 and 19,773 is: 29,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,696.83 : 104,549.22 = 19,773 : x
  2. Step 2: Convert to fraction form
    69,696.83/104,549.22 = 19,773/x
  3. Step 3: Cross multiply
    69,696.83x = 104,549.22 × 19,773
  4. Step 4: Simplify right side
    69,696.83x = 2,067,251,727.06
  5. Step 5: Solve for x
    x = 2,067,251,727.06/69,696.83
  6. Step 6: Final answer
    x = 29,660.63

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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.