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Finding the Fourth Proportional to 49,878.80, 74,828.60 and 16,609.20

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Solution

The fourth proportional to 49,878.80, 74,828.60 and 16,609.20 is: 24,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,878.80 : 74,828.60 = 16,609.20 : x
  2. Step 2: Convert to fraction form
    49,878.80/74,828.60 = 16,609.20/x
  3. Step 3: Cross multiply
    49,878.80x = 74,828.60 × 16,609.20
  4. Step 4: Simplify right side
    49,878.80x = 1,242,843,183.12
  5. Step 5: Solve for x
    x = 1,242,843,183.12/49,878.80
  6. Step 6: Final answer
    x = 24,917.26

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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.