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Finding the Fourth Proportional to 31,784, 43,861.92 and 17,639.12

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Solution

The fourth proportional to 31,784, 43,861.92 and 17,639.12 is: 24,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,784 : 43,861.92 = 17,639.12 : x
  2. Step 2: Convert to fraction form
    31,784/43,861.92 = 17,639.12/x
  3. Step 3: Cross multiply
    31,784x = 43,861.92 × 17,639.12
  4. Step 4: Simplify right side
    31,784x = 773,685,670.31
  5. Step 5: Solve for x
    x = 773,685,670.31/31,784
  6. Step 6: Final answer
    x = 24,341.99

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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.