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Finding the Fourth Proportional to 30,163.85, 41,628.08 and 17,417.57

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Solution

The fourth proportional to 30,163.85, 41,628.08 and 17,417.57 is: 24,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,163.85 : 41,628.08 = 17,417.57 : x
  2. Step 2: Convert to fraction form
    30,163.85/41,628.08 = 17,417.57/x
  3. Step 3: Cross multiply
    30,163.85x = 41,628.08 × 17,417.57
  4. Step 4: Simplify right side
    30,163.85x = 725,059,702.14
  5. Step 5: Solve for x
    x = 725,059,702.14/30,163.85
  6. Step 6: Final answer
    x = 24,037.38

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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.