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Finding the Fourth Proportional to 172,672, 259,022.67 and 48,013

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Solution

The fourth proportional to 172,672, 259,022.67 and 48,013 is: 72,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,672 : 259,022.67 = 48,013 : x
  2. Step 2: Convert to fraction form
    172,672/259,022.67 = 48,013/x
  3. Step 3: Cross multiply
    172,672x = 259,022.67 × 48,013
  4. Step 4: Simplify right side
    172,672x = 12,436,455,454.71
  5. Step 5: Solve for x
    x = 12,436,455,454.71/172,672
  6. Step 6: Final answer
    x = 72,023.58

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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.