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Finding the Fourth Proportional to 30,228.18, 41,714.38 and 16,799.09

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Solution

The fourth proportional to 30,228.18, 41,714.38 and 16,799.09 is: 23,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,228.18 : 41,714.38 = 16,799.09 : x
  2. Step 2: Convert to fraction form
    30,228.18/41,714.38 = 16,799.09/x
  3. Step 3: Cross multiply
    30,228.18x = 41,714.38 × 16,799.09
  4. Step 4: Simplify right side
    30,228.18x = 700,763,539.92
  5. Step 5: Solve for x
    x = 700,763,539.92/30,228.18
  6. Step 6: Final answer
    x = 23,182.46

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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.