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Finding the Fourth Proportional to 48,589.88, 72,906 and 17,022.62

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Solution

The fourth proportional to 48,589.88, 72,906 and 17,022.62 is: 25,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,589.88 : 72,906 = 17,022.62 : x
  2. Step 2: Convert to fraction form
    48,589.88/72,906 = 17,022.62/x
  3. Step 3: Cross multiply
    48,589.88x = 72,906 × 17,022.62
  4. Step 4: Simplify right side
    48,589.88x = 1,241,051,133.72
  5. Step 5: Solve for x
    x = 1,241,051,133.72/48,589.88
  6. Step 6: Final answer
    x = 25,541.35

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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.