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Finding the Fourth Proportional to 55,218.60, 82,738.80 and 49,969.80

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Solution

The fourth proportional to 55,218.60, 82,738.80 and 49,969.80 is: 74,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,218.60 : 82,738.80 = 49,969.80 : x
  2. Step 2: Convert to fraction form
    55,218.60/82,738.80 = 49,969.80/x
  3. Step 3: Cross multiply
    55,218.60x = 82,738.80 × 49,969.80
  4. Step 4: Simplify right side
    55,218.60x = 4,134,441,288.24
  5. Step 5: Solve for x
    x = 4,134,441,288.24/55,218.60
  6. Step 6: Final answer
    x = 74,874.07

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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.