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Finding the Fourth Proportional to 30,617.61, 42,249.38 and 17,185.78

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Solution

The fourth proportional to 30,617.61, 42,249.38 and 17,185.78 is: 23,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,617.61 : 42,249.38 = 17,185.78 : x
  2. Step 2: Convert to fraction form
    30,617.61/42,249.38 = 17,185.78/x
  3. Step 3: Cross multiply
    30,617.61x = 42,249.38 × 17,185.78
  4. Step 4: Simplify right side
    30,617.61x = 726,088,516.70
  5. Step 5: Solve for x
    x = 726,088,516.70/30,617.61
  6. Step 6: Final answer
    x = 23,714.74

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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.