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Finding the Fourth Proportional to 48,164.82, 72,232.44 and 16,992.78

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Solution

The fourth proportional to 48,164.82, 72,232.44 and 16,992.78 is: 25,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,164.82 : 72,232.44 = 16,992.78 : x
  2. Step 2: Convert to fraction form
    48,164.82/72,232.44 = 16,992.78/x
  3. Step 3: Cross multiply
    48,164.82x = 72,232.44 × 16,992.78
  4. Step 4: Simplify right side
    48,164.82x = 1,227,429,961.78
  5. Step 5: Solve for x
    x = 1,227,429,961.78/48,164.82
  6. Step 6: Final answer
    x = 25,483.95

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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.