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Finding the Fourth Proportional to 50,858.63, 76,279.24 and 13,419.10

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Solution

The fourth proportional to 50,858.63, 76,279.24 and 13,419.10 is: 20,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,858.63 : 76,279.24 = 13,419.10 : x
  2. Step 2: Convert to fraction form
    50,858.63/76,279.24 = 13,419.10/x
  3. Step 3: Cross multiply
    50,858.63x = 76,279.24 × 13,419.10
  4. Step 4: Simplify right side
    50,858.63x = 1,023,598,300.99
  5. Step 5: Solve for x
    x = 1,023,598,300.99/50,858.63
  6. Step 6: Final answer
    x = 20,126.34

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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.