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Finding the Fourth Proportional to 31,958.88, 47,935.08 and 8,582.28

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Solution

The fourth proportional to 31,958.88, 47,935.08 and 8,582.28 is: 12,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,958.88 : 47,935.08 = 8,582.28 : x
  2. Step 2: Convert to fraction form
    31,958.88/47,935.08 = 8,582.28/x
  3. Step 3: Cross multiply
    31,958.88x = 47,935.08 × 8,582.28
  4. Step 4: Simplify right side
    31,958.88x = 411,392,278.38
  5. Step 5: Solve for x
    x = 411,392,278.38/31,958.88
  6. Step 6: Final answer
    x = 12,872.55

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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.