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Finding the Fourth Proportional to 50,862, 76,310.92 and 22,779.76

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Solution

The fourth proportional to 50,862, 76,310.92 and 22,779.76 is: 34,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,862 : 76,310.92 = 22,779.76 : x
  2. Step 2: Convert to fraction form
    50,862/76,310.92 = 22,779.76/x
  3. Step 3: Cross multiply
    50,862x = 76,310.92 × 22,779.76
  4. Step 4: Simplify right side
    50,862x = 1,738,344,442.98
  5. Step 5: Solve for x
    x = 1,738,344,442.98/50,862
  6. Step 6: Final answer
    x = 34,177.67

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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.