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Finding the Fourth Proportional to 172,662.84, 259,016.13 and 48,003.84

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Solution

The fourth proportional to 172,662.84, 259,016.13 and 48,003.84 is: 72,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,662.84 : 259,016.13 = 48,003.84 : x
  2. Step 2: Convert to fraction form
    172,662.84/259,016.13 = 48,003.84/x
  3. Step 3: Cross multiply
    172,662.84x = 259,016.13 × 48,003.84
  4. Step 4: Simplify right side
    172,662.84x = 12,433,768,861.94
  5. Step 5: Solve for x
    x = 12,433,768,861.94/172,662.84
  6. Step 6: Final answer
    x = 72,011.84

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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.