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Finding the Fourth Proportional to 31,011.34, 46,513.55 and 8,523.74

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Solution

The fourth proportional to 31,011.34, 46,513.55 and 8,523.74 is: 12,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,011.34 : 46,513.55 = 8,523.74 : x
  2. Step 2: Convert to fraction form
    31,011.34/46,513.55 = 8,523.74/x
  3. Step 3: Cross multiply
    31,011.34x = 46,513.55 × 8,523.74
  4. Step 4: Simplify right side
    31,011.34x = 396,469,406.68
  5. Step 5: Solve for x
    x = 396,469,406.68/31,011.34
  6. Step 6: Final answer
    x = 12,784.66

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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.