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Finding the Fourth Proportional to 82,340.44, 123,504.90 and 47,169.88

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Solution

The fourth proportional to 82,340.44, 123,504.90 and 47,169.88 is: 70,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,340.44 : 123,504.90 = 47,169.88 : x
  2. Step 2: Convert to fraction form
    82,340.44/123,504.90 = 47,169.88/x
  3. Step 3: Cross multiply
    82,340.44x = 123,504.90 × 47,169.88
  4. Step 4: Simplify right side
    82,340.44x = 5,825,711,312.41
  5. Step 5: Solve for x
    x = 5,825,711,312.41/82,340.44
  6. Step 6: Final answer
    x = 70,751.52

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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.