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Finding the Fourth Proportional to 75,857.92, 104,635.20 and 46,049.92

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Solution

The fourth proportional to 75,857.92, 104,635.20 and 46,049.92 is: 63,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,857.92 : 104,635.20 = 46,049.92 : x
  2. Step 2: Convert to fraction form
    75,857.92/104,635.20 = 46,049.92/x
  3. Step 3: Cross multiply
    75,857.92x = 104,635.20 × 46,049.92
  4. Step 4: Simplify right side
    75,857.92x = 4,818,442,589.18
  5. Step 5: Solve for x
    x = 4,818,442,589.18/75,857.92
  6. Step 6: Final answer
    x = 63,519.31

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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.