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Finding the Fourth Proportional to 47,368.70, 71,015.31 and 27,355.48

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Solution

The fourth proportional to 47,368.70, 71,015.31 and 27,355.48 is: 41,011.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,368.70 : 71,015.31 = 27,355.48 : x
  2. Step 2: Convert to fraction form
    47,368.70/71,015.31 = 27,355.48/x
  3. Step 3: Cross multiply
    47,368.70x = 71,015.31 × 27,355.48
  4. Step 4: Simplify right side
    47,368.70x = 1,942,657,892.40
  5. Step 5: Solve for x
    x = 1,942,657,892.40/47,368.70
  6. Step 6: Final answer
    x = 41,011.43

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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.