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Finding the Fourth Proportional to 50,509.48, 75,745.20 and 16,769.20

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Solution

The fourth proportional to 50,509.48, 75,745.20 and 16,769.20 is: 25,147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.48 : 75,745.20 = 16,769.20 : x
  2. Step 2: Convert to fraction form
    50,509.48/75,745.20 = 16,769.20/x
  3. Step 3: Cross multiply
    50,509.48x = 75,745.20 × 16,769.20
  4. Step 4: Simplify right side
    50,509.48x = 1,270,186,407.84
  5. Step 5: Solve for x
    x = 1,270,186,407.84/50,509.48
  6. Step 6: Final answer
    x = 25,147.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.