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Finding the Fourth Proportional to 114,057.05, 171,082.01 and 47,495.51

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Solution

The fourth proportional to 114,057.05, 171,082.01 and 47,495.51 is: 71,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,057.05 : 171,082.01 = 47,495.51 : x
  2. Step 2: Convert to fraction form
    114,057.05/171,082.01 = 47,495.51/x
  3. Step 3: Cross multiply
    114,057.05x = 171,082.01 × 47,495.51
  4. Step 4: Simplify right side
    114,057.05x = 8,125,627,079.30
  5. Step 5: Solve for x
    x = 8,125,627,079.30/114,057.05
  6. Step 6: Final answer
    x = 71,241.78

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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.