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Finding the Fourth Proportional to 83,450.28, 115,172.10 and 47,632.08

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Solution

The fourth proportional to 83,450.28, 115,172.10 and 47,632.08 is: 65,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,450.28 : 115,172.10 = 47,632.08 : x
  2. Step 2: Convert to fraction form
    83,450.28/115,172.10 = 47,632.08/x
  3. Step 3: Cross multiply
    83,450.28x = 115,172.10 × 47,632.08
  4. Step 4: Simplify right side
    83,450.28x = 5,485,886,680.97
  5. Step 5: Solve for x
    x = 5,485,886,680.97/83,450.28
  6. Step 6: Final answer
    x = 65,738.39

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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.