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Finding the Fourth Proportional to 48,164.84, 72,232.44 and 16,992.80

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Solution

The fourth proportional to 48,164.84, 72,232.44 and 16,992.80 is: 25,483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,164.84 : 72,232.44 = 16,992.80 : x
  2. Step 2: Convert to fraction form
    48,164.84/72,232.44 = 16,992.80/x
  3. Step 3: Cross multiply
    48,164.84x = 72,232.44 × 16,992.80
  4. Step 4: Simplify right side
    48,164.84x = 1,227,431,406.43
  5. Step 5: Solve for x
    x = 1,227,431,406.43/48,164.84
  6. Step 6: Final answer
    x = 25,483.97

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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.