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Finding the Fourth Proportional to 30,085.70, 41,519.79 and 16,658.43

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Solution

The fourth proportional to 30,085.70, 41,519.79 and 16,658.43 is: 22,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,085.70 : 41,519.79 = 16,658.43 : x
  2. Step 2: Convert to fraction form
    30,085.70/41,519.79 = 16,658.43/x
  3. Step 3: Cross multiply
    30,085.70x = 41,519.79 × 16,658.43
  4. Step 4: Simplify right side
    30,085.70x = 691,654,411.53
  5. Step 5: Solve for x
    x = 691,654,411.53/30,085.70
  6. Step 6: Final answer
    x = 22,989.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.