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Finding the Fourth Proportional to 50,659.35, 75,989.09 and 13,219.40

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Solution

The fourth proportional to 50,659.35, 75,989.09 and 13,219.40 is: 19,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,659.35 : 75,989.09 = 13,219.40 : x
  2. Step 2: Convert to fraction form
    50,659.35/75,989.09 = 13,219.40/x
  3. Step 3: Cross multiply
    50,659.35x = 75,989.09 × 13,219.40
  4. Step 4: Simplify right side
    50,659.35x = 1,004,529,730.30
  5. Step 5: Solve for x
    x = 1,004,529,730.30/50,659.35
  6. Step 6: Final answer
    x = 19,829.11

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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.