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Finding the Fourth Proportional to 51,634.82, 71,264.12 and 28,982.99

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Solution

The fourth proportional to 51,634.82, 71,264.12 and 28,982.99 is: 40,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,634.82 : 71,264.12 = 28,982.99 : x
  2. Step 2: Convert to fraction form
    51,634.82/71,264.12 = 28,982.99/x
  3. Step 3: Cross multiply
    51,634.82x = 71,264.12 × 28,982.99
  4. Step 4: Simplify right side
    51,634.82x = 2,065,447,310.56
  5. Step 5: Solve for x
    x = 2,065,447,310.56/51,634.82
  6. Step 6: Final answer
    x = 40,001.05

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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.