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Finding the Fourth Proportional to 53,605.42, 80,414.46 and 14,162.86

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Solution

The fourth proportional to 53,605.42, 80,414.46 and 14,162.86 is: 21,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,605.42 : 80,414.46 = 14,162.86 : x
  2. Step 2: Convert to fraction form
    53,605.42/80,414.46 = 14,162.86/x
  3. Step 3: Cross multiply
    53,605.42x = 80,414.46 × 14,162.86
  4. Step 4: Simplify right side
    53,605.42x = 1,138,898,738.96
  5. Step 5: Solve for x
    x = 1,138,898,738.96/53,605.42
  6. Step 6: Final answer
    x = 21,245.96

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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.