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Finding the Fourth Proportional to 50,779.78, 76,198.82 and 39,655.24

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Solution

The fourth proportional to 50,779.78, 76,198.82 and 39,655.24 is: 59,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,779.78 : 76,198.82 = 39,655.24 : x
  2. Step 2: Convert to fraction form
    50,779.78/76,198.82 = 39,655.24/x
  3. Step 3: Cross multiply
    50,779.78x = 76,198.82 × 39,655.24
  4. Step 4: Simplify right side
    50,779.78x = 3,021,682,106.04
  5. Step 5: Solve for x
    x = 3,021,682,106.04/50,779.78
  6. Step 6: Final answer
    x = 59,505.62

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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.