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Finding the Fourth Proportional to 38,047.86, 57,085.32 and 16,986

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Solution

The fourth proportional to 38,047.86, 57,085.32 and 16,986 is: 25,485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,047.86 : 57,085.32 = 16,986 : x
  2. Step 2: Convert to fraction form
    38,047.86/57,085.32 = 16,986/x
  3. Step 3: Cross multiply
    38,047.86x = 57,085.32 × 16,986
  4. Step 4: Simplify right side
    38,047.86x = 969,651,245.52
  5. Step 5: Solve for x
    x = 969,651,245.52/38,047.86
  6. Step 6: Final answer
    x = 25,485.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.