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Finding the Fourth Proportional to 29,935.94, 41,314.02 and 16,509.80

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Solution

The fourth proportional to 29,935.94, 41,314.02 and 16,509.80 is: 22,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,935.94 : 41,314.02 = 16,509.80 : x
  2. Step 2: Convert to fraction form
    29,935.94/41,314.02 = 16,509.80/x
  3. Step 3: Cross multiply
    29,935.94x = 41,314.02 × 16,509.80
  4. Step 4: Simplify right side
    29,935.94x = 682,086,207.40
  5. Step 5: Solve for x
    x = 682,086,207.40/29,935.94
  6. Step 6: Final answer
    x = 22,784.86

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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.