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Finding the Fourth Proportional to 84,616.70, 126,800.29 and 47,125.14

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Solution

The fourth proportional to 84,616.70, 126,800.29 and 47,125.14 is: 70,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,616.70 : 126,800.29 = 47,125.14 : x
  2. Step 2: Convert to fraction form
    84,616.70/126,800.29 = 47,125.14/x
  3. Step 3: Cross multiply
    84,616.70x = 126,800.29 × 47,125.14
  4. Step 4: Simplify right side
    84,616.70x = 5,975,481,449.87
  5. Step 5: Solve for x
    x = 5,975,481,449.87/84,616.70
  6. Step 6: Final answer
    x = 70,618.23

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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.