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Finding the Fourth Proportional to 54,866.58, 82,282.86 and 19,801.68

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Solution

The fourth proportional to 54,866.58, 82,282.86 and 19,801.68 is: 29,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,866.58 : 82,282.86 = 19,801.68 : x
  2. Step 2: Convert to fraction form
    54,866.58/82,282.86 = 19,801.68/x
  3. Step 3: Cross multiply
    54,866.58x = 82,282.86 × 19,801.68
  4. Step 4: Simplify right side
    54,866.58x = 1,629,338,863.20
  5. Step 5: Solve for x
    x = 1,629,338,863.20/54,866.58
  6. Step 6: Final answer
    x = 29,696.38

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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.