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Finding the Fourth Proportional to 70,382.05, 105,499.26 and 32,910.54

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Solution

The fourth proportional to 70,382.05, 105,499.26 and 32,910.54 is: 49,331.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,382.05 : 105,499.26 = 32,910.54 : x
  2. Step 2: Convert to fraction form
    70,382.05/105,499.26 = 32,910.54/x
  3. Step 3: Cross multiply
    70,382.05x = 105,499.26 × 32,910.54
  4. Step 4: Simplify right side
    70,382.05x = 3,472,037,220.58
  5. Step 5: Solve for x
    x = 3,472,037,220.58/70,382.05
  6. Step 6: Final answer
    x = 49,331.29

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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.