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Finding the Fourth Proportional to 50,584.31, 75,877.83 and 13,143.54

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Solution

The fourth proportional to 50,584.31, 75,877.83 and 13,143.54 is: 19,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,584.31 : 75,877.83 = 13,143.54 : x
  2. Step 2: Convert to fraction form
    50,584.31/75,877.83 = 13,143.54/x
  3. Step 3: Cross multiply
    50,584.31x = 75,877.83 × 13,143.54
  4. Step 4: Simplify right side
    50,584.31x = 997,303,293.72
  5. Step 5: Solve for x
    x = 997,303,293.72/50,584.31
  6. Step 6: Final answer
    x = 19,715.67

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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.