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Finding the Fourth Proportional to 30,422.38, 41,980.15 and 16,991.77

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Solution

The fourth proportional to 30,422.38, 41,980.15 and 16,991.77 is: 23,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,422.38 : 41,980.15 = 16,991.77 : x
  2. Step 2: Convert to fraction form
    30,422.38/41,980.15 = 16,991.77/x
  3. Step 3: Cross multiply
    30,422.38x = 41,980.15 × 16,991.77
  4. Step 4: Simplify right side
    30,422.38x = 713,317,053.37
  5. Step 5: Solve for x
    x = 713,317,053.37/30,422.38
  6. Step 6: Final answer
    x = 23,447.12

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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.