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Finding the Fourth Proportional to 50,950.57, 76,427.58 and 13,514.42

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Solution

The fourth proportional to 50,950.57, 76,427.58 and 13,514.42 is: 20,272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,950.57 : 76,427.58 = 13,514.42 : x
  2. Step 2: Convert to fraction form
    50,950.57/76,427.58 = 13,514.42/x
  3. Step 3: Cross multiply
    50,950.57x = 76,427.58 × 13,514.42
  4. Step 4: Simplify right side
    50,950.57x = 1,032,874,328.47
  5. Step 5: Solve for x
    x = 1,032,874,328.47/50,950.57
  6. Step 6: Final answer
    x = 20,272.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.