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Finding the Fourth Proportional to 47,204.70, 65,133.48 and 30,195.90

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Solution

The fourth proportional to 47,204.70, 65,133.48 and 30,195.90 is: 41,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,204.70 : 65,133.48 = 30,195.90 : x
  2. Step 2: Convert to fraction form
    47,204.70/65,133.48 = 30,195.90/x
  3. Step 3: Cross multiply
    47,204.70x = 65,133.48 × 30,195.90
  4. Step 4: Simplify right side
    47,204.70x = 1,966,764,048.73
  5. Step 5: Solve for x
    x = 1,966,764,048.73/47,204.70
  6. Step 6: Final answer
    x = 41,664.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.