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Finding the Fourth Proportional to 114,913.92, 172,243.44 and 48,334.32

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Solution

The fourth proportional to 114,913.92, 172,243.44 and 48,334.32 is: 72,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,913.92 : 172,243.44 = 48,334.32 : x
  2. Step 2: Convert to fraction form
    114,913.92/172,243.44 = 48,334.32/x
  3. Step 3: Cross multiply
    114,913.92x = 172,243.44 × 48,334.32
  4. Step 4: Simplify right side
    114,913.92x = 8,325,269,546.86
  5. Step 5: Solve for x
    x = 8,325,269,546.86/114,913.92
  6. Step 6: Final answer
    x = 72,447.88

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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.