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Finding the Fourth Proportional to 30,226.65, 41,709.03 and 16,800.71

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Solution

The fourth proportional to 30,226.65, 41,709.03 and 16,800.71 is: 23,182.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,226.65 : 41,709.03 = 16,800.71 : x
  2. Step 2: Convert to fraction form
    30,226.65/41,709.03 = 16,800.71/x
  3. Step 3: Cross multiply
    30,226.65x = 41,709.03 × 16,800.71
  4. Step 4: Simplify right side
    30,226.65x = 700,741,108.87
  5. Step 5: Solve for x
    x = 700,741,108.87/30,226.65
  6. Step 6: Final answer
    x = 23,182.89

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1.5x scale

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.