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Finding the Fourth Proportional to 49,491.84, 74,221.92 and 16,202.88

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Solution

The fourth proportional to 49,491.84, 74,221.92 and 16,202.88 is: 24,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,491.84 : 74,221.92 = 16,202.88 : x
  2. Step 2: Convert to fraction form
    49,491.84/74,221.92 = 16,202.88/x
  3. Step 3: Cross multiply
    49,491.84x = 74,221.92 × 16,202.88
  4. Step 4: Simplify right side
    49,491.84x = 1,202,608,863.13
  5. Step 5: Solve for x
    x = 1,202,608,863.13/49,491.84
  6. Step 6: Final answer
    x = 24,299.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.