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Finding the Fourth Proportional to 172,691, 259,051.17 and 48,032

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Solution

The fourth proportional to 172,691, 259,051.17 and 48,032 is: 72,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,691 : 259,051.17 = 48,032 : x
  2. Step 2: Convert to fraction form
    172,691/259,051.17 = 48,032/x
  3. Step 3: Cross multiply
    172,691x = 259,051.17 × 48,032
  4. Step 4: Simplify right side
    172,691x = 12,442,745,797.44
  5. Step 5: Solve for x
    x = 12,442,745,797.44/172,691
  6. Step 6: Final answer
    x = 72,052.08

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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.