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Finding the Fourth Proportional to 57,932, 86,705.13 and 43,814.24

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Solution

The fourth proportional to 57,932, 86,705.13 and 43,814.24 is: 65,575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,932 : 86,705.13 = 43,814.24 : x
  2. Step 2: Convert to fraction form
    57,932/86,705.13 = 43,814.24/x
  3. Step 3: Cross multiply
    57,932x = 86,705.13 × 43,814.24
  4. Step 4: Simplify right side
    57,932x = 3,798,919,375.05
  5. Step 5: Solve for x
    x = 3,798,919,375.05/57,932
  6. Step 6: Final answer
    x = 65,575.49

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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.