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Finding the Fourth Proportional to 30,201.80, 45,324.30 and 17,040.20

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Solution

The fourth proportional to 30,201.80, 45,324.30 and 17,040.20 is: 25,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.80 : 45,324.30 = 17,040.20 : x
  2. Step 2: Convert to fraction form
    30,201.80/45,324.30 = 17,040.20/x
  3. Step 3: Cross multiply
    30,201.80x = 45,324.30 × 17,040.20
  4. Step 4: Simplify right side
    30,201.80x = 772,335,136.86
  5. Step 5: Solve for x
    x = 772,335,136.86/30,201.80
  6. Step 6: Final answer
    x = 25,572.49

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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.