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Finding the Fourth Proportional to 82,361, 123,544.48 and 23,201.84

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Solution

The fourth proportional to 82,361, 123,544.48 and 23,201.84 is: 34,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,361 : 123,544.48 = 23,201.84 : x
  2. Step 2: Convert to fraction form
    82,361/123,544.48 = 23,201.84/x
  3. Step 3: Cross multiply
    82,361x = 123,544.48 × 23,201.84
  4. Step 4: Simplify right side
    82,361x = 2,866,459,257.84
  5. Step 5: Solve for x
    x = 2,866,459,257.84/82,361
  6. Step 6: Final answer
    x = 34,803.60

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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.