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Finding the Fourth Proportional to 47,754.31, 71,622.20 and 45,383.54

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Solution

The fourth proportional to 47,754.31, 71,622.20 and 45,383.54 is: 68,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,754.31 : 71,622.20 = 45,383.54 : x
  2. Step 2: Convert to fraction form
    47,754.31/71,622.20 = 45,383.54/x
  3. Step 3: Cross multiply
    47,754.31x = 71,622.20 × 45,383.54
  4. Step 4: Simplify right side
    47,754.31x = 3,250,468,572.61
  5. Step 5: Solve for x
    x = 3,250,468,572.61/47,754.31
  6. Step 6: Final answer
    x = 68,066.50

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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.