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Finding the Fourth Proportional to 30,309.99, 41,827.80 and 16,883.82

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Solution

The fourth proportional to 30,309.99, 41,827.80 and 16,883.82 is: 23,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309.99 : 41,827.80 = 16,883.82 : x
  2. Step 2: Convert to fraction form
    30,309.99/41,827.80 = 16,883.82/x
  3. Step 3: Cross multiply
    30,309.99x = 41,827.80 × 16,883.82
  4. Step 4: Simplify right side
    30,309.99x = 706,213,046.20
  5. Step 5: Solve for x
    x = 706,213,046.20/30,309.99
  6. Step 6: Final answer
    x = 23,299.68

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1.5x scale

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.