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Finding the Fourth Proportional to 30,769.38, 46,149.96 and 8,580.90

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Solution

The fourth proportional to 30,769.38, 46,149.96 and 8,580.90 is: 12,870.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.38 : 46,149.96 = 8,580.90 : x
  2. Step 2: Convert to fraction form
    30,769.38/46,149.96 = 8,580.90/x
  3. Step 3: Cross multiply
    30,769.38x = 46,149.96 × 8,580.90
  4. Step 4: Simplify right side
    30,769.38x = 396,007,983.48
  5. Step 5: Solve for x
    x = 396,007,983.48/30,769.38
  6. Step 6: Final answer
    x = 12,870.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.