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Finding the Fourth Proportional to 55,234.70, 82,873.65 and 20,177.90

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Solution

The fourth proportional to 55,234.70, 82,873.65 and 20,177.90 is: 30,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,234.70 : 82,873.65 = 20,177.90 : x
  2. Step 2: Convert to fraction form
    55,234.70/82,873.65 = 20,177.90/x
  3. Step 3: Cross multiply
    55,234.70x = 82,873.65 × 20,177.90
  4. Step 4: Simplify right side
    55,234.70x = 1,672,216,222.34
  5. Step 5: Solve for x
    x = 1,672,216,222.34/55,234.70
  6. Step 6: Final answer
    x = 30,274.74

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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.