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Finding the Fourth Proportional to 82,849.80, 124,274.70 and 47,760.60

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Solution

The fourth proportional to 82,849.80, 124,274.70 and 47,760.60 is: 71,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,849.80 : 124,274.70 = 47,760.60 : x
  2. Step 2: Convert to fraction form
    82,849.80/124,274.70 = 47,760.60/x
  3. Step 3: Cross multiply
    82,849.80x = 124,274.70 × 47,760.60
  4. Step 4: Simplify right side
    82,849.80x = 5,935,434,236.82
  5. Step 5: Solve for x
    x = 5,935,434,236.82/82,849.80
  6. Step 6: Final answer
    x = 71,640.90

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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.