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Finding the Fourth Proportional to 31,986.34, 47,980.72 and 8,613.38

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Solution

The fourth proportional to 31,986.34, 47,980.72 and 8,613.38 is: 12,920.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,986.34 : 47,980.72 = 8,613.38 : x
  2. Step 2: Convert to fraction form
    31,986.34/47,980.72 = 8,613.38/x
  3. Step 3: Cross multiply
    31,986.34x = 47,980.72 × 8,613.38
  4. Step 4: Simplify right side
    31,986.34x = 413,276,174.03
  5. Step 5: Solve for x
    x = 413,276,174.03/31,986.34
  6. Step 6: Final answer
    x = 12,920.40

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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.