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Finding the Fourth Proportional to 54,451.92, 81,626.04 and 17,490

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Solution

The fourth proportional to 54,451.92, 81,626.04 and 17,490 is: 26,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,451.92 : 81,626.04 = 17,490 : x
  2. Step 2: Convert to fraction form
    54,451.92/81,626.04 = 17,490/x
  3. Step 3: Cross multiply
    54,451.92x = 81,626.04 × 17,490
  4. Step 4: Simplify right side
    54,451.92x = 1,427,639,439.60
  5. Step 5: Solve for x
    x = 1,427,639,439.60/54,451.92
  6. Step 6: Final answer
    x = 26,218.35

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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.