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Finding the Fourth Proportional to 114,614.85, 171,989.22 and 48,049.86

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Solution

The fourth proportional to 114,614.85, 171,989.22 and 48,049.86 is: 72,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,614.85 : 171,989.22 = 48,049.86 : x
  2. Step 2: Convert to fraction form
    114,614.85/171,989.22 = 48,049.86/x
  3. Step 3: Cross multiply
    114,614.85x = 171,989.22 × 48,049.86
  4. Step 4: Simplify right side
    114,614.85x = 8,264,057,942.51
  5. Step 5: Solve for x
    x = 8,264,057,942.51/114,614.85
  6. Step 6: Final answer
    x = 72,102.86

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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.