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Finding the Fourth Proportional to 51,394.92, 77,104.58 and 16,334.60

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Solution

The fourth proportional to 51,394.92, 77,104.58 and 16,334.60 is: 24,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,394.92 : 77,104.58 = 16,334.60 : x
  2. Step 2: Convert to fraction form
    51,394.92/77,104.58 = 16,334.60/x
  3. Step 3: Cross multiply
    51,394.92x = 77,104.58 × 16,334.60
  4. Step 4: Simplify right side
    51,394.92x = 1,259,472,472.47
  5. Step 5: Solve for x
    x = 1,259,472,472.47/51,394.92
  6. Step 6: Final answer
    x = 24,505.78

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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.