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Finding the Fourth Proportional to 47,358.70, 71,076.45 and 45,822.70

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Solution

The fourth proportional to 47,358.70, 71,076.45 and 45,822.70 is: 68,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,358.70 : 71,076.45 = 45,822.70 : x
  2. Step 2: Convert to fraction form
    47,358.70/71,076.45 = 45,822.70/x
  3. Step 3: Cross multiply
    47,358.70x = 71,076.45 × 45,822.70
  4. Step 4: Simplify right side
    47,358.70x = 3,256,914,845.42
  5. Step 5: Solve for x
    x = 3,256,914,845.42/47,358.70
  6. Step 6: Final answer
    x = 68,771.20

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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.