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Finding the Fourth Proportional to 57,916, 79,924.16 and 32,764.96

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Solution

The fourth proportional to 57,916, 79,924.16 and 32,764.96 is: 45,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,916 : 79,924.16 = 32,764.96 : x
  2. Step 2: Convert to fraction form
    57,916/79,924.16 = 32,764.96/x
  3. Step 3: Cross multiply
    57,916x = 79,924.16 × 32,764.96
  4. Step 4: Simplify right side
    57,916x = 2,618,711,905.43
  5. Step 5: Solve for x
    x = 2,618,711,905.43/57,916
  6. Step 6: Final answer
    x = 45,215.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.