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Finding the Fourth Proportional to 32,163, 48,273.92 and 16,378.94

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Solution

The fourth proportional to 32,163, 48,273.92 and 16,378.94 is: 24,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,163 : 48,273.92 = 16,378.94 : x
  2. Step 2: Convert to fraction form
    32,163/48,273.92 = 16,378.94/x
  3. Step 3: Cross multiply
    32,163x = 48,273.92 × 16,378.94
  4. Step 4: Simplify right side
    32,163x = 790,675,639.24
  5. Step 5: Solve for x
    x = 790,675,639.24/32,163
  6. Step 6: Final answer
    x = 24,583.39

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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.