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Finding the Fourth Proportional to 50,659.10, 75,988.71 and 13,219.15

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Solution

The fourth proportional to 50,659.10, 75,988.71 and 13,219.15 is: 19,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,659.10 : 75,988.71 = 13,219.15 : x
  2. Step 2: Convert to fraction form
    50,659.10/75,988.71 = 13,219.15/x
  3. Step 3: Cross multiply
    50,659.10x = 75,988.71 × 13,219.15
  4. Step 4: Simplify right side
    50,659.10x = 1,004,505,775.85
  5. Step 5: Solve for x
    x = 1,004,505,775.85/50,659.10
  6. Step 6: Final answer
    x = 19,828.73

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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.