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Finding the Fourth Proportional to 54,468.64, 81,685.68 and 17,524

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Solution

The fourth proportional to 54,468.64, 81,685.68 and 17,524 is: 26,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,468.64 : 81,685.68 = 17,524 : x
  2. Step 2: Convert to fraction form
    54,468.64/81,685.68 = 17,524/x
  3. Step 3: Cross multiply
    54,468.64x = 81,685.68 × 17,524
  4. Step 4: Simplify right side
    54,468.64x = 1,431,459,856.32
  5. Step 5: Solve for x
    x = 1,431,459,856.32/54,468.64
  6. Step 6: Final answer
    x = 26,280.44

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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.