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Finding the Fourth Proportional to 38,781.64, 53,514.77 and 21,784.60

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Solution

The fourth proportional to 38,781.64, 53,514.77 and 21,784.60 is: 30,060.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,781.64 : 53,514.77 = 21,784.60 : x
  2. Step 2: Convert to fraction form
    38,781.64/53,514.77 = 21,784.60/x
  3. Step 3: Cross multiply
    38,781.64x = 53,514.77 × 21,784.60
  4. Step 4: Simplify right side
    38,781.64x = 1,165,797,858.54
  5. Step 5: Solve for x
    x = 1,165,797,858.54/38,781.64
  6. Step 6: Final answer
    x = 30,060.56

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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.