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Finding the Fourth Proportional to 38,896.86, 53,678.76 and 23,789.25

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Solution

The fourth proportional to 38,896.86, 53,678.76 and 23,789.25 is: 32,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,896.86 : 53,678.76 = 23,789.25 : x
  2. Step 2: Convert to fraction form
    38,896.86/53,678.76 = 23,789.25/x
  3. Step 3: Cross multiply
    38,896.86x = 53,678.76 × 23,789.25
  4. Step 4: Simplify right side
    38,896.86x = 1,276,977,441.33
  5. Step 5: Solve for x
    x = 1,276,977,441.33/38,896.86
  6. Step 6: Final answer
    x = 32,829.83

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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.