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Finding the Fourth Proportional to 30,163.10, 41,627.04 and 17,416.82

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Solution

The fourth proportional to 30,163.10, 41,627.04 and 17,416.82 is: 24,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,163.10 : 41,627.04 = 17,416.82 : x
  2. Step 2: Convert to fraction form
    30,163.10/41,627.04 = 17,416.82/x
  3. Step 3: Cross multiply
    30,163.10x = 41,627.04 × 17,416.82
  4. Step 4: Simplify right side
    30,163.10x = 725,010,565.38
  5. Step 5: Solve for x
    x = 725,010,565.38/30,163.10
  6. Step 6: Final answer
    x = 24,036.35

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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.