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Finding the Fourth Proportional to 49,489.76, 74,238.80 and 16,209.12

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Solution

The fourth proportional to 49,489.76, 74,238.80 and 16,209.12 is: 24,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,489.76 : 74,238.80 = 16,209.12 : x
  2. Step 2: Convert to fraction form
    49,489.76/74,238.80 = 16,209.12/x
  3. Step 3: Cross multiply
    49,489.76x = 74,238.80 × 16,209.12
  4. Step 4: Simplify right side
    49,489.76x = 1,203,345,617.86
  5. Step 5: Solve for x
    x = 1,203,345,617.86/49,489.76
  6. Step 6: Final answer
    x = 24,315.04

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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.