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Finding the Fourth Proportional to 30,175.38, 41,642.13 and 16,746.90

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Solution

The fourth proportional to 30,175.38, 41,642.13 and 16,746.90 is: 23,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175.38 : 41,642.13 = 16,746.90 : x
  2. Step 2: Convert to fraction form
    30,175.38/41,642.13 = 16,746.90/x
  3. Step 3: Cross multiply
    30,175.38x = 41,642.13 × 16,746.90
  4. Step 4: Simplify right side
    30,175.38x = 697,376,586.90
  5. Step 5: Solve for x
    x = 697,376,586.90/30,175.38
  6. Step 6: Final answer
    x = 23,110.78

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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.