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Finding the Fourth Proportional to 30,115.64, 41,518.68 and 20,044.64

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Solution

The fourth proportional to 30,115.64, 41,518.68 and 20,044.64 is: 27,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,115.64 : 41,518.68 = 20,044.64 : x
  2. Step 2: Convert to fraction form
    30,115.64/41,518.68 = 20,044.64/x
  3. Step 3: Cross multiply
    30,115.64x = 41,518.68 × 20,044.64
  4. Step 4: Simplify right side
    30,115.64x = 832,226,993.88
  5. Step 5: Solve for x
    x = 832,226,993.88/30,115.64
  6. Step 6: Final answer
    x = 27,634.38

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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.