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Finding the Fourth Proportional to 47,643.97, 71,451.32 and 32,947.33

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Solution

The fourth proportional to 47,643.97, 71,451.32 and 32,947.33 is: 49,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,643.97 : 71,451.32 = 32,947.33 : x
  2. Step 2: Convert to fraction form
    47,643.97/71,451.32 = 32,947.33/x
  3. Step 3: Cross multiply
    47,643.97x = 71,451.32 × 32,947.33
  4. Step 4: Simplify right side
    47,643.97x = 2,354,130,218.98
  5. Step 5: Solve for x
    x = 2,354,130,218.98/47,643.97
  6. Step 6: Final answer
    x = 49,410.87

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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.