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Finding the Fourth Proportional to 83,540.52, 115,284.51 and 47,241.39

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Solution

The fourth proportional to 83,540.52, 115,284.51 and 47,241.39 is: 65,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,540.52 : 115,284.51 = 47,241.39 : x
  2. Step 2: Convert to fraction form
    83,540.52/115,284.51 = 47,241.39/x
  3. Step 3: Cross multiply
    83,540.52x = 115,284.51 × 47,241.39
  4. Step 4: Simplify right side
    83,540.52x = 5,446,200,497.87
  5. Step 5: Solve for x
    x = 5,446,200,497.87/83,540.52
  6. Step 6: Final answer
    x = 65,192.32

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1.5x scale

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.