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Finding the Fourth Proportional to 54,883.20, 82,300.50 and 19,823.16

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Solution

The fourth proportional to 54,883.20, 82,300.50 and 19,823.16 is: 29,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,883.20 : 82,300.50 = 19,823.16 : x
  2. Step 2: Convert to fraction form
    54,883.20/82,300.50 = 19,823.16/x
  3. Step 3: Cross multiply
    54,883.20x = 82,300.50 × 19,823.16
  4. Step 4: Simplify right side
    54,883.20x = 1,631,455,979.58
  5. Step 5: Solve for x
    x = 1,631,455,979.58/54,883.20
  6. Step 6: Final answer
    x = 29,725.96

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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.