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Finding the Fourth Proportional to 30,843.10, 42,561.10 and 17,415.68

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Solution

The fourth proportional to 30,843.10, 42,561.10 and 17,415.68 is: 24,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.10 : 42,561.10 = 17,415.68 : x
  2. Step 2: Convert to fraction form
    30,843.10/42,561.10 = 17,415.68/x
  3. Step 3: Cross multiply
    30,843.10x = 42,561.10 × 17,415.68
  4. Step 4: Simplify right side
    30,843.10x = 741,230,568.16
  5. Step 5: Solve for x
    x = 741,230,568.16/30,843.10
  6. Step 6: Final answer
    x = 24,032.29

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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.