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Finding the Fourth Proportional to 83,632.32, 115,383.36 and 47,796.48

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Solution

The fourth proportional to 83,632.32, 115,383.36 and 47,796.48 is: 65,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,632.32 : 115,383.36 = 47,796.48 : x
  2. Step 2: Convert to fraction form
    83,632.32/115,383.36 = 47,796.48/x
  3. Step 3: Cross multiply
    83,632.32x = 115,383.36 × 47,796.48
  4. Step 4: Simplify right side
    83,632.32x = 5,514,918,458.57
  5. Step 5: Solve for x
    x = 5,514,918,458.57/83,632.32
  6. Step 6: Final answer
    x = 65,942.43

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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.