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Finding the Fourth Proportional to 38,431.69, 53,035.73 and 21,664.69

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Solution

The fourth proportional to 38,431.69, 53,035.73 and 21,664.69 is: 29,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,431.69 : 53,035.73 = 21,664.69 : x
  2. Step 2: Convert to fraction form
    38,431.69/53,035.73 = 21,664.69/x
  3. Step 3: Cross multiply
    38,431.69x = 53,035.73 × 21,664.69
  4. Step 4: Simplify right side
    38,431.69x = 1,149,002,489.70
  5. Step 5: Solve for x
    x = 1,149,002,489.70/38,431.69
  6. Step 6: Final answer
    x = 29,897.27

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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.