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Finding the Fourth Proportional to 30,204.38, 41,682.60 and 16,776.87

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Solution

The fourth proportional to 30,204.38, 41,682.60 and 16,776.87 is: 23,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204.38 : 41,682.60 = 16,776.87 : x
  2. Step 2: Convert to fraction form
    30,204.38/41,682.60 = 16,776.87/x
  3. Step 3: Cross multiply
    30,204.38x = 41,682.60 × 16,776.87
  4. Step 4: Simplify right side
    30,204.38x = 699,303,561.46
  5. Step 5: Solve for x
    x = 699,303,561.46/30,204.38
  6. Step 6: Final answer
    x = 23,152.39

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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.