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Finding the Fourth Proportional to 172,983.50, 259,475.52 and 48,324.50

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Solution

The fourth proportional to 172,983.50, 259,475.52 and 48,324.50 is: 72,486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,983.50 : 259,475.52 = 48,324.50 : x
  2. Step 2: Convert to fraction form
    172,983.50/259,475.52 = 48,324.50/x
  3. Step 3: Cross multiply
    172,983.50x = 259,475.52 × 48,324.50
  4. Step 4: Simplify right side
    172,983.50x = 12,539,024,766.24
  5. Step 5: Solve for x
    x = 12,539,024,766.24/172,983.50
  6. Step 6: Final answer
    x = 72,486.83

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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.