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Finding the Fourth Proportional to 53,158.33, 79,711.17 and 30,977.29

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Solution

The fourth proportional to 53,158.33, 79,711.17 and 30,977.29 is: 46,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,158.33 : 79,711.17 = 30,977.29 : x
  2. Step 2: Convert to fraction form
    53,158.33/79,711.17 = 30,977.29/x
  3. Step 3: Cross multiply
    53,158.33x = 79,711.17 × 30,977.29
  4. Step 4: Simplify right side
    53,158.33x = 2,469,236,029.33
  5. Step 5: Solve for x
    x = 2,469,236,029.33/53,158.33
  6. Step 6: Final answer
    x = 46,450.59

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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.