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Finding the Fourth Proportional to 56,609.86, 84,914.49 and 14,489.86

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Solution

The fourth proportional to 56,609.86, 84,914.49 and 14,489.86 is: 21,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,609.86 : 84,914.49 = 14,489.86 : x
  2. Step 2: Convert to fraction form
    56,609.86/84,914.49 = 14,489.86/x
  3. Step 3: Cross multiply
    56,609.86x = 84,914.49 × 14,489.86
  4. Step 4: Simplify right side
    56,609.86x = 1,230,399,072.07
  5. Step 5: Solve for x
    x = 1,230,399,072.07/56,609.86
  6. Step 6: Final answer
    x = 21,734.71

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Why These Related Problems?

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