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Finding the Fourth Proportional to 31,953.13, 47,930 and 8,579.57

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Solution

The fourth proportional to 31,953.13, 47,930 and 8,579.57 is: 12,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,953.13 : 47,930 = 8,579.57 : x
  2. Step 2: Convert to fraction form
    31,953.13/47,930 = 8,579.57/x
  3. Step 3: Cross multiply
    31,953.13x = 47,930 × 8,579.57
  4. Step 4: Simplify right side
    31,953.13x = 411,218,670.28
  5. Step 5: Solve for x
    x = 411,218,670.28/31,953.13
  6. Step 6: Final answer
    x = 12,869.43

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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.