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Finding the Fourth Proportional to 57,859.74, 79,846.56 and 32,709.24

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Solution

The fourth proportional to 57,859.74, 79,846.56 and 32,709.24 is: 45,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,859.74 : 79,846.56 = 32,709.24 : x
  2. Step 2: Convert to fraction form
    57,859.74/79,846.56 = 32,709.24/x
  3. Step 3: Cross multiply
    57,859.74x = 79,846.56 × 32,709.24
  4. Step 4: Simplify right side
    57,859.74x = 2,611,720,294.21
  5. Step 5: Solve for x
    x = 2,611,720,294.21/57,859.74
  6. Step 6: Final answer
    x = 45,138.82

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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.