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Finding the Fourth Proportional to 49,461.60, 74,203.20 and 16,183.20

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Solution

The fourth proportional to 49,461.60, 74,203.20 and 16,183.20 is: 24,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,461.60 : 74,203.20 = 16,183.20 : x
  2. Step 2: Convert to fraction form
    49,461.60/74,203.20 = 16,183.20/x
  3. Step 3: Cross multiply
    49,461.60x = 74,203.20 × 16,183.20
  4. Step 4: Simplify right side
    49,461.60x = 1,200,845,226.24
  5. Step 5: Solve for x
    x = 1,200,845,226.24/49,461.60
  6. Step 6: Final answer
    x = 24,278.33

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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.