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Finding the Fourth Proportional to 82,517.70, 123,803.16 and 38,173.50

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Solution

The fourth proportional to 82,517.70, 123,803.16 and 38,173.50 is: 57,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,517.70 : 123,803.16 = 38,173.50 : x
  2. Step 2: Convert to fraction form
    82,517.70/123,803.16 = 38,173.50/x
  3. Step 3: Cross multiply
    82,517.70x = 123,803.16 × 38,173.50
  4. Step 4: Simplify right side
    82,517.70x = 4,725,999,928.26
  5. Step 5: Solve for x
    x = 4,725,999,928.26/82,517.70
  6. Step 6: Final answer
    x = 57,272.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.