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Finding the Fourth Proportional to 38,414.86, 53,003.37 and 21,647.86

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Solution

The fourth proportional to 38,414.86, 53,003.37 and 21,647.86 is: 29,868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.86 : 53,003.37 = 21,647.86 : x
  2. Step 2: Convert to fraction form
    38,414.86/53,003.37 = 21,647.86/x
  3. Step 3: Cross multiply
    38,414.86x = 53,003.37 × 21,647.86
  4. Step 4: Simplify right side
    38,414.86x = 1,147,409,533.29
  5. Step 5: Solve for x
    x = 1,147,409,533.29/38,414.86
  6. Step 6: Final answer
    x = 29,868.90

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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.