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Finding the Fourth Proportional to 54,116.64, 81,164.16 and 20,376

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Solution

The fourth proportional to 54,116.64, 81,164.16 and 20,376 is: 30,559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,116.64 : 81,164.16 = 20,376 : x
  2. Step 2: Convert to fraction form
    54,116.64/81,164.16 = 20,376/x
  3. Step 3: Cross multiply
    54,116.64x = 81,164.16 × 20,376
  4. Step 4: Simplify right side
    54,116.64x = 1,653,800,924.16
  5. Step 5: Solve for x
    x = 1,653,800,924.16/54,116.64
  6. Step 6: Final answer
    x = 30,559.93

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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.