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Finding the Fourth Proportional to 114,452.64, 171,755.12 and 47,039.96

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Solution

The fourth proportional to 114,452.64, 171,755.12 and 47,039.96 is: 70,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,452.64 : 171,755.12 = 47,039.96 : x
  2. Step 2: Convert to fraction form
    114,452.64/171,755.12 = 47,039.96/x
  3. Step 3: Cross multiply
    114,452.64x = 171,755.12 × 47,039.96
  4. Step 4: Simplify right side
    114,452.64x = 8,079,353,974.60
  5. Step 5: Solve for x
    x = 8,079,353,974.60/114,452.64
  6. Step 6: Final answer
    x = 70,591.24

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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.