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Finding the Fourth Proportional to 31,805.08, 47,708.70 and 8,433.88

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Solution

The fourth proportional to 31,805.08, 47,708.70 and 8,433.88 is: 12,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.08 : 47,708.70 = 8,433.88 : x
  2. Step 2: Convert to fraction form
    31,805.08/47,708.70 = 8,433.88/x
  3. Step 3: Cross multiply
    31,805.08x = 47,708.70 × 8,433.88
  4. Step 4: Simplify right side
    31,805.08x = 402,369,450.76
  5. Step 5: Solve for x
    x = 402,369,450.76/31,805.08
  6. Step 6: Final answer
    x = 12,651.11

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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.