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Finding the Fourth Proportional to 172,671, 259,021.17 and 48,012

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Solution

The fourth proportional to 172,671, 259,021.17 and 48,012 is: 72,022.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,671 : 259,021.17 = 48,012 : x
  2. Step 2: Convert to fraction form
    172,671/259,021.17 = 48,012/x
  3. Step 3: Cross multiply
    172,671x = 259,021.17 × 48,012
  4. Step 4: Simplify right side
    172,671x = 12,436,124,414.04
  5. Step 5: Solve for x
    x = 12,436,124,414.04/172,671
  6. Step 6: Final answer
    x = 72,022.08

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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.