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Finding the Fourth Proportional to 30,892.62, 46,286.03 and 16,862.49

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Solution

The fourth proportional to 30,892.62, 46,286.03 and 16,862.49 is: 25,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.62 : 46,286.03 = 16,862.49 : x
  2. Step 2: Convert to fraction form
    30,892.62/46,286.03 = 16,862.49/x
  3. Step 3: Cross multiply
    30,892.62x = 46,286.03 × 16,862.49
  4. Step 4: Simplify right side
    30,892.62x = 780,497,718.01
  5. Step 5: Solve for x
    x = 780,497,718.01/30,892.62
  6. Step 6: Final answer
    x = 25,264.86

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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.