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Finding the Fourth Proportional to 51,493.83, 77,242.10 and 16,433.46

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Solution

The fourth proportional to 51,493.83, 77,242.10 and 16,433.46 is: 24,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,493.83 : 77,242.10 = 16,433.46 : x
  2. Step 2: Convert to fraction form
    51,493.83/77,242.10 = 16,433.46/x
  3. Step 3: Cross multiply
    51,493.83x = 77,242.10 × 16,433.46
  4. Step 4: Simplify right side
    51,493.83x = 1,269,354,878.50
  5. Step 5: Solve for x
    x = 1,269,354,878.50/51,493.83
  6. Step 6: Final answer
    x = 24,650.62

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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.