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Finding the Fourth Proportional to 49,730.80, 74,401.80 and 32,234.80

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Solution

The fourth proportional to 49,730.80, 74,401.80 and 32,234.80 is: 48,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,730.80 : 74,401.80 = 32,234.80 : x
  2. Step 2: Convert to fraction form
    49,730.80/74,401.80 = 32,234.80/x
  3. Step 3: Cross multiply
    49,730.80x = 74,401.80 × 32,234.80
  4. Step 4: Simplify right side
    49,730.80x = 2,398,327,142.64
  5. Step 5: Solve for x
    x = 2,398,327,142.64/49,730.80
  6. Step 6: Final answer
    x = 48,226.19

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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.