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Finding the Fourth Proportional to 31,972.65, 47,958.90 and 8,599.11

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Solution

The fourth proportional to 31,972.65, 47,958.90 and 8,599.11 is: 12,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,972.65 : 47,958.90 = 8,599.11 : x
  2. Step 2: Convert to fraction form
    31,972.65/47,958.90 = 8,599.11/x
  3. Step 3: Cross multiply
    31,972.65x = 47,958.90 × 8,599.11
  4. Step 4: Simplify right side
    31,972.65x = 412,403,856.58
  5. Step 5: Solve for x
    x = 412,403,856.58/31,972.65
  6. Step 6: Final answer
    x = 12,898.64

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Why These Related Problems?

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