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Finding the Fourth Proportional to 173,675, 260,512.50 and 49,016

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Solution

The fourth proportional to 173,675, 260,512.50 and 49,016 is: 73,524

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,675 : 260,512.50 = 49,016 : x
  2. Step 2: Convert to fraction form
    173,675/260,512.50 = 49,016/x
  3. Step 3: Cross multiply
    173,675x = 260,512.50 × 49,016
  4. Step 4: Simplify right side
    173,675x = 12,769,280,700
  5. Step 5: Solve for x
    x = 12,769,280,700/173,675
  6. Step 6: Final answer
    x = 73,524

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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.