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Finding the Fourth Proportional to 31,776.65, 47,665.26 and 8,084.23

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Solution

The fourth proportional to 31,776.65, 47,665.26 and 8,084.23 is: 12,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.65 : 47,665.26 = 8,084.23 : x
  2. Step 2: Convert to fraction form
    31,776.65/47,665.26 = 8,084.23/x
  3. Step 3: Cross multiply
    31,776.65x = 47,665.26 × 8,084.23
  4. Step 4: Simplify right side
    31,776.65x = 385,336,775.37
  5. Step 5: Solve for x
    x = 385,336,775.37/31,776.65
  6. Step 6: Final answer
    x = 12,126.41

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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.