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Finding the Fourth Proportional to 50,130.54, 75,205.31 and 20,147.11

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Solution

The fourth proportional to 50,130.54, 75,205.31 and 20,147.11 is: 30,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,130.54 : 75,205.31 = 20,147.11 : x
  2. Step 2: Convert to fraction form
    50,130.54/75,205.31 = 20,147.11/x
  3. Step 3: Cross multiply
    50,130.54x = 75,205.31 × 20,147.11
  4. Step 4: Simplify right side
    50,130.54x = 1,515,169,364.41
  5. Step 5: Solve for x
    x = 1,515,169,364.41/50,130.54
  6. Step 6: Final answer
    x = 30,224.48

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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.