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Finding the Fourth Proportional to 35,498.88, 48,991.68 and 20,592

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Solution

The fourth proportional to 35,498.88, 48,991.68 and 20,592 is: 28,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,498.88 : 48,991.68 = 20,592 : x
  2. Step 2: Convert to fraction form
    35,498.88/48,991.68 = 20,592/x
  3. Step 3: Cross multiply
    35,498.88x = 48,991.68 × 20,592
  4. Step 4: Simplify right side
    35,498.88x = 1,008,836,674.56
  5. Step 5: Solve for x
    x = 1,008,836,674.56/35,498.88
  6. Step 6: Final answer
    x = 28,418.83

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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.