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Finding the Fourth Proportional to 49,468.80, 74,210.40 and 16,180.80

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Solution

The fourth proportional to 49,468.80, 74,210.40 and 16,180.80 is: 24,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,468.80 : 74,210.40 = 16,180.80 : x
  2. Step 2: Convert to fraction form
    49,468.80/74,210.40 = 16,180.80/x
  3. Step 3: Cross multiply
    49,468.80x = 74,210.40 × 16,180.80
  4. Step 4: Simplify right side
    49,468.80x = 1,200,783,640.32
  5. Step 5: Solve for x
    x = 1,200,783,640.32/49,468.80
  6. Step 6: Final answer
    x = 24,273.56

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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.