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Finding the Fourth Proportional to 38,429.82, 53,033.03 and 21,434.09

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Solution

The fourth proportional to 38,429.82, 53,033.03 and 21,434.09 is: 29,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,429.82 : 53,033.03 = 21,434.09 : x
  2. Step 2: Convert to fraction form
    38,429.82/53,033.03 = 21,434.09/x
  3. Step 3: Cross multiply
    38,429.82x = 53,033.03 × 21,434.09
  4. Step 4: Simplify right side
    38,429.82x = 1,136,714,365.66
  5. Step 5: Solve for x
    x = 1,136,714,365.66/38,429.82
  6. Step 6: Final answer
    x = 29,578.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.