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Finding the Fourth Proportional to 52,882.70, 79,218.29 and 31,811.09

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Solution

The fourth proportional to 52,882.70, 79,218.29 and 31,811.09 is: 47,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,882.70 : 79,218.29 = 31,811.09 : x
  2. Step 2: Convert to fraction form
    52,882.70/79,218.29 = 31,811.09/x
  3. Step 3: Cross multiply
    52,882.70x = 79,218.29 × 31,811.09
  4. Step 4: Simplify right side
    52,882.70x = 2,520,019,836.27
  5. Step 5: Solve for x
    x = 2,520,019,836.27/52,882.70
  6. Step 6: Final answer
    x = 47,653.01

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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.