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Finding the Fourth Proportional to 59,704.32, 82,393.20 and 32,846.88

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Solution

The fourth proportional to 59,704.32, 82,393.20 and 32,846.88 is: 45,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,704.32 : 82,393.20 = 32,846.88 : x
  2. Step 2: Convert to fraction form
    59,704.32/82,393.20 = 32,846.88/x
  3. Step 3: Cross multiply
    59,704.32x = 82,393.20 × 32,846.88
  4. Step 4: Simplify right side
    59,704.32x = 2,706,359,553.22
  5. Step 5: Solve for x
    x = 2,706,359,553.22/59,704.32
  6. Step 6: Final answer
    x = 45,329.38

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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.