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Finding the Fourth Proportional to 54,641, 81,974.46 and 17,705

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Solution

The fourth proportional to 54,641, 81,974.46 and 17,705 is: 26,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,641 : 81,974.46 = 17,705 : x
  2. Step 2: Convert to fraction form
    54,641/81,974.46 = 17,705/x
  3. Step 3: Cross multiply
    54,641x = 81,974.46 × 17,705
  4. Step 4: Simplify right side
    54,641x = 1,451,357,814.30
  5. Step 5: Solve for x
    x = 1,451,357,814.30/54,641
  6. Step 6: Final answer
    x = 26,561.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.