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Finding the Fourth Proportional to 30,129.72, 41,578.30 and 17,382.92

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Solution

The fourth proportional to 30,129.72, 41,578.30 and 17,382.92 is: 23,988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,129.72 : 41,578.30 = 17,382.92 : x
  2. Step 2: Convert to fraction form
    30,129.72/41,578.30 = 17,382.92/x
  3. Step 3: Cross multiply
    30,129.72x = 41,578.30 × 17,382.92
  4. Step 4: Simplify right side
    30,129.72x = 722,752,262.64
  5. Step 5: Solve for x
    x = 722,752,262.64/30,129.72
  6. Step 6: Final answer
    x = 23,988.02

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