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Finding the Fourth Proportional to 82,249.92, 123,374.56 and 19,920.32

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Solution

The fourth proportional to 82,249.92, 123,374.56 and 19,920.32 is: 29,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,249.92 : 123,374.56 = 19,920.32 : x
  2. Step 2: Convert to fraction form
    82,249.92/123,374.56 = 19,920.32/x
  3. Step 3: Cross multiply
    82,249.92x = 123,374.56 × 19,920.32
  4. Step 4: Simplify right side
    82,249.92x = 2,457,660,715.06
  5. Step 5: Solve for x
    x = 2,457,660,715.06/82,249.92
  6. Step 6: Final answer
    x = 29,880.40

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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.