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Finding the Fourth Proportional to 47,903.73, 66,107.12 and 27,772.31

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Solution

The fourth proportional to 47,903.73, 66,107.12 and 27,772.31 is: 38,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,903.73 : 66,107.12 = 27,772.31 : x
  2. Step 2: Convert to fraction form
    47,903.73/66,107.12 = 27,772.31/x
  3. Step 3: Cross multiply
    47,903.73x = 66,107.12 × 27,772.31
  4. Step 4: Simplify right side
    47,903.73x = 1,835,946,960.45
  5. Step 5: Solve for x
    x = 1,835,946,960.45/47,903.73
  6. Step 6: Final answer
    x = 38,325.76

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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.