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Finding the Fourth Proportional to 47,652.52, 71,517.66 and 19,969.96

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Solution

The fourth proportional to 47,652.52, 71,517.66 and 19,969.96 is: 29,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,652.52 : 71,517.66 = 19,969.96 : x
  2. Step 2: Convert to fraction form
    47,652.52/71,517.66 = 19,969.96/x
  3. Step 3: Cross multiply
    47,652.52x = 71,517.66 × 19,969.96
  4. Step 4: Simplify right side
    47,652.52x = 1,428,204,809.49
  5. Step 5: Solve for x
    x = 1,428,204,809.49/47,652.52
  6. Step 6: Final answer
    x = 29,971.23

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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.