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Finding the Fourth Proportional to 47,643.52, 71,463.42 and 22,693.48

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Solution

The fourth proportional to 47,643.52, 71,463.42 and 22,693.48 is: 34,039.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,643.52 : 71,463.42 = 22,693.48 : x
  2. Step 2: Convert to fraction form
    47,643.52/71,463.42 = 22,693.48/x
  3. Step 3: Cross multiply
    47,643.52x = 71,463.42 × 22,693.48
  4. Step 4: Simplify right side
    47,643.52x = 1,621,753,692.50
  5. Step 5: Solve for x
    x = 1,621,753,692.50/47,643.52
  6. Step 6: Final answer
    x = 34,039.33

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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.