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Finding the Fourth Proportional to 50,834.40, 76,242.96 and 13,889.76

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Solution

The fourth proportional to 50,834.40, 76,242.96 and 13,889.76 is: 20,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,834.40 : 76,242.96 = 13,889.76 : x
  2. Step 2: Convert to fraction form
    50,834.40/76,242.96 = 13,889.76/x
  3. Step 3: Cross multiply
    50,834.40x = 76,242.96 × 13,889.76
  4. Step 4: Simplify right side
    50,834.40x = 1,058,996,416.09
  5. Step 5: Solve for x
    x = 1,058,996,416.09/50,834.40
  6. Step 6: Final answer
    x = 20,832.28

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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.