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Finding the Fourth Proportional to 41,105.80, 61,658.70 and 14,813.20

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Solution

The fourth proportional to 41,105.80, 61,658.70 and 14,813.20 is: 22,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,105.80 : 61,658.70 = 14,813.20 : x
  2. Step 2: Convert to fraction form
    41,105.80/61,658.70 = 14,813.20/x
  3. Step 3: Cross multiply
    41,105.80x = 61,658.70 × 14,813.20
  4. Step 4: Simplify right side
    41,105.80x = 913,362,654.84
  5. Step 5: Solve for x
    x = 913,362,654.84/41,105.80
  6. Step 6: Final answer
    x = 22,219.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.