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Finding the Fourth Proportional to 51,287.90, 76,924.16 and 16,223

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Solution

The fourth proportional to 51,287.90, 76,924.16 and 16,223 is: 24,332.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,287.90 : 76,924.16 = 16,223 : x
  2. Step 2: Convert to fraction form
    51,287.90/76,924.16 = 16,223/x
  3. Step 3: Cross multiply
    51,287.90x = 76,924.16 × 16,223
  4. Step 4: Simplify right side
    51,287.90x = 1,247,940,566.57
  5. Step 5: Solve for x
    x = 1,247,940,566.57/51,287.90
  6. Step 6: Final answer
    x = 24,332.07

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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.