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Finding the Fourth Proportional to 30,882.50, 46,296.03 and 11,156.43

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Solution

The fourth proportional to 30,882.50, 46,296.03 and 11,156.43 is: 16,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.50 : 46,296.03 = 11,156.43 : x
  2. Step 2: Convert to fraction form
    30,882.50/46,296.03 = 11,156.43/x
  3. Step 3: Cross multiply
    30,882.50x = 46,296.03 × 11,156.43
  4. Step 4: Simplify right side
    30,882.50x = 516,498,417.97
  5. Step 5: Solve for x
    x = 516,498,417.97/30,882.50
  6. Step 6: Final answer
    x = 16,724.63

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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.