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Finding the Fourth Proportional to 36,493.68, 50,384.26 and 27,980.02

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Solution

The fourth proportional to 36,493.68, 50,384.26 and 27,980.02 is: 38,630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,493.68 : 50,384.26 = 27,980.02 : x
  2. Step 2: Convert to fraction form
    36,493.68/50,384.26 = 27,980.02/x
  3. Step 3: Cross multiply
    36,493.68x = 50,384.26 × 27,980.02
  4. Step 4: Simplify right side
    36,493.68x = 1,409,752,602.49
  5. Step 5: Solve for x
    x = 1,409,752,602.49/36,493.68
  6. Step 6: Final answer
    x = 38,630.05

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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.