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Finding the Fourth Proportional to 30,206.46, 41,682.63 and 16,776.57

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Solution

The fourth proportional to 30,206.46, 41,682.63 and 16,776.57 is: 23,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206.46 : 41,682.63 = 16,776.57 : x
  2. Step 2: Convert to fraction form
    30,206.46/41,682.63 = 16,776.57/x
  3. Step 3: Cross multiply
    30,206.46x = 41,682.63 × 16,776.57
  4. Step 4: Simplify right side
    30,206.46x = 699,291,403.18
  5. Step 5: Solve for x
    x = 699,291,403.18/30,206.46
  6. Step 6: Final answer
    x = 23,150.39

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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.