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Finding the Fourth Proportional to 36,582.60, 54,830.16 and 16,841.28

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Solution

The fourth proportional to 36,582.60, 54,830.16 and 16,841.28 is: 25,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,582.60 : 54,830.16 = 16,841.28 : x
  2. Step 2: Convert to fraction form
    36,582.60/54,830.16 = 16,841.28/x
  3. Step 3: Cross multiply
    36,582.60x = 54,830.16 × 16,841.28
  4. Step 4: Simplify right side
    36,582.60x = 923,410,077.00
  5. Step 5: Solve for x
    x = 923,410,077.00/36,582.60
  6. Step 6: Final answer
    x = 25,241.78

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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.