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Finding the Fourth Proportional to 48,762.78, 73,144.20 and 11,826.78

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Solution

The fourth proportional to 48,762.78, 73,144.20 and 11,826.78 is: 17,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,762.78 : 73,144.20 = 11,826.78 : x
  2. Step 2: Convert to fraction form
    48,762.78/73,144.20 = 11,826.78/x
  3. Step 3: Cross multiply
    48,762.78x = 73,144.20 × 11,826.78
  4. Step 4: Simplify right side
    48,762.78x = 865,060,361.68
  5. Step 5: Solve for x
    x = 865,060,361.68/48,762.78
  6. Step 6: Final answer
    x = 17,740.18

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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.