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Finding the Fourth Proportional to 82,043.67, 123,065.50 and 19,714.17

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Solution

The fourth proportional to 82,043.67, 123,065.50 and 19,714.17 is: 29,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,043.67 : 123,065.50 = 19,714.17 : x
  2. Step 2: Convert to fraction form
    82,043.67/123,065.50 = 19,714.17/x
  3. Step 3: Cross multiply
    82,043.67x = 123,065.50 × 19,714.17
  4. Step 4: Simplify right side
    82,043.67x = 2,426,134,519.69
  5. Step 5: Solve for x
    x = 2,426,134,519.69/82,043.67
  6. Step 6: Final answer
    x = 29,571.26

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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.