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Finding the Fourth Proportional to 30,146.92, 41,605.38 and 17,571.40

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Solution

The fourth proportional to 30,146.92, 41,605.38 and 17,571.40 is: 24,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.92 : 41,605.38 = 17,571.40 : x
  2. Step 2: Convert to fraction form
    30,146.92/41,605.38 = 17,571.40/x
  3. Step 3: Cross multiply
    30,146.92x = 41,605.38 × 17,571.40
  4. Step 4: Simplify right side
    30,146.92x = 731,064,774.13
  5. Step 5: Solve for x
    x = 731,064,774.13/30,146.92
  6. Step 6: Final answer
    x = 24,250.07

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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.