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Finding the Fourth Proportional to 36,462, 50,317.61 and 19,695

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Solution

The fourth proportional to 36,462, 50,317.61 and 19,695 is: 27,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,462 : 50,317.61 = 19,695 : x
  2. Step 2: Convert to fraction form
    36,462/50,317.61 = 19,695/x
  3. Step 3: Cross multiply
    36,462x = 50,317.61 × 19,695
  4. Step 4: Simplify right side
    36,462x = 991,005,230.48
  5. Step 5: Solve for x
    x = 991,005,230.48/36,462
  6. Step 6: Final answer
    x = 27,179.12

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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.