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Finding the Fourth Proportional to 68,596.54, 102,614.12 and 51,831.96

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Solution

The fourth proportional to 68,596.54, 102,614.12 and 51,831.96 is: 77,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,596.54 : 102,614.12 = 51,831.96 : x
  2. Step 2: Convert to fraction form
    68,596.54/102,614.12 = 51,831.96/x
  3. Step 3: Cross multiply
    68,596.54x = 102,614.12 × 51,831.96
  4. Step 4: Simplify right side
    68,596.54x = 5,318,690,963.28
  5. Step 5: Solve for x
    x = 5,318,690,963.28/68,596.54
  6. Step 6: Final answer
    x = 77,535.85

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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.