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Finding the Fourth Proportional to 30,103.56, 41,542.20 and 16,674

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Solution

The fourth proportional to 30,103.56, 41,542.20 and 16,674 is: 23,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,103.56 : 41,542.20 = 16,674 : x
  2. Step 2: Convert to fraction form
    30,103.56/41,542.20 = 16,674/x
  3. Step 3: Cross multiply
    30,103.56x = 41,542.20 × 16,674
  4. Step 4: Simplify right side
    30,103.56x = 692,674,642.80
  5. Step 5: Solve for x
    x = 692,674,642.80/30,103.56
  6. Step 6: Final answer
    x = 23,009.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.