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Finding the Fourth Proportional to 39,634.52, 54,696.08 and 22,641

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Solution

The fourth proportional to 39,634.52, 54,696.08 and 22,641 is: 31,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,634.52 : 54,696.08 = 22,641 : x
  2. Step 2: Convert to fraction form
    39,634.52/54,696.08 = 22,641/x
  3. Step 3: Cross multiply
    39,634.52x = 54,696.08 × 22,641
  4. Step 4: Simplify right side
    39,634.52x = 1,238,373,947.28
  5. Step 5: Solve for x
    x = 1,238,373,947.28/39,634.52
  6. Step 6: Final answer
    x = 31,244.83

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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.