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Finding the Fourth Proportional to 89,516.80, 123,523.50 and 51,784

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Solution

The fourth proportional to 89,516.80, 123,523.50 and 51,784 is: 71,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,516.80 : 123,523.50 = 51,784 : x
  2. Step 2: Convert to fraction form
    89,516.80/123,523.50 = 51,784/x
  3. Step 3: Cross multiply
    89,516.80x = 123,523.50 × 51,784
  4. Step 4: Simplify right side
    89,516.80x = 6,396,540,924
  5. Step 5: Solve for x
    x = 6,396,540,924/89,516.80
  6. Step 6: Final answer
    x = 71,456.32

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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.