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Finding the Fourth Proportional to 82,355.70, 123,497.10 and 37,959.60

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Solution

The fourth proportional to 82,355.70, 123,497.10 and 37,959.60 is: 56,922.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,355.70 : 123,497.10 = 37,959.60 : x
  2. Step 2: Convert to fraction form
    82,355.70/123,497.10 = 37,959.60/x
  3. Step 3: Cross multiply
    82,355.70x = 123,497.10 × 37,959.60
  4. Step 4: Simplify right side
    82,355.70x = 4,687,900,517.16
  5. Step 5: Solve for x
    x = 4,687,900,517.16/82,355.70
  6. Step 6: Final answer
    x = 56,922.60

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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.