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Finding the Fourth Proportional to 172,872, 259,351.76 and 48,213

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Solution

The fourth proportional to 172,872, 259,351.76 and 48,213 is: 72,331.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,872 : 259,351.76 = 48,213 : x
  2. Step 2: Convert to fraction form
    172,872/259,351.76 = 48,213/x
  3. Step 3: Cross multiply
    172,872x = 259,351.76 × 48,213
  4. Step 4: Simplify right side
    172,872x = 12,504,126,404.88
  5. Step 5: Solve for x
    x = 12,504,126,404.88/172,872
  6. Step 6: Final answer
    x = 72,331.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.