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Finding the Fourth Proportional to 30,205.38, 41,683.98 and 16,777.87

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Solution

The fourth proportional to 30,205.38, 41,683.98 and 16,777.87 is: 23,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.38 : 41,683.98 = 16,777.87 : x
  2. Step 2: Convert to fraction form
    30,205.38/41,683.98 = 16,777.87/x
  3. Step 3: Cross multiply
    30,205.38x = 41,683.98 × 16,777.87
  4. Step 4: Simplify right side
    30,205.38x = 699,368,397.52
  5. Step 5: Solve for x
    x = 699,368,397.52/30,205.38
  6. Step 6: Final answer
    x = 23,153.77

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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.