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Finding the Fourth Proportional to 38,416.86, 53,010.99 and 21,419.64

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Solution

The fourth proportional to 38,416.86, 53,010.99 and 21,419.64 is: 29,556.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,416.86 : 53,010.99 = 21,419.64 : x
  2. Step 2: Convert to fraction form
    38,416.86/53,010.99 = 21,419.64/x
  3. Step 3: Cross multiply
    38,416.86x = 53,010.99 × 21,419.64
  4. Step 4: Simplify right side
    38,416.86x = 1,135,476,321.84
  5. Step 5: Solve for x
    x = 1,135,476,321.84/38,416.86
  6. Step 6: Final answer
    x = 29,556.72

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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.