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Finding the Fourth Proportional to 36,416.39, 50,254.71 and 20,283.58

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Solution

The fourth proportional to 36,416.39, 50,254.71 and 20,283.58 is: 27,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,416.39 : 50,254.71 = 20,283.58 : x
  2. Step 2: Convert to fraction form
    36,416.39/50,254.71 = 20,283.58/x
  3. Step 3: Cross multiply
    36,416.39x = 50,254.71 × 20,283.58
  4. Step 4: Simplify right side
    36,416.39x = 1,019,345,305.03
  5. Step 5: Solve for x
    x = 1,019,345,305.03/36,416.39
  6. Step 6: Final answer
    x = 27,991.39

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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.