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Finding the Fourth Proportional to 82,586.45, 123,884.37 and 23,417.44

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Solution

The fourth proportional to 82,586.45, 123,884.37 and 23,417.44 is: 35,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,586.45 : 123,884.37 = 23,417.44 : x
  2. Step 2: Convert to fraction form
    82,586.45/123,884.37 = 23,417.44/x
  3. Step 3: Cross multiply
    82,586.45x = 123,884.37 × 23,417.44
  4. Step 4: Simplify right side
    82,586.45x = 2,901,054,491.70
  5. Step 5: Solve for x
    x = 2,901,054,491.70/82,586.45
  6. Step 6: Final answer
    x = 35,127.49

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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.